Energy Levels of Light Nuclei A = 15

Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download "Energy Levels of Light Nuclei A = 15"

Transcript

1 Revised Manuscript 4 August 08 Energy Levels of Light Nuclei A = F. Ajzenberg-Selove University of Pennsylvania, Philadelphia, Pennsylvania Abstract: An evaluation of A = was published in Nuclear Physics A (970), p.. This version of A = differs from the published version in that we have corrected some errors discovered after the article went to press. Figures and introductory tables have been omitted from this manuscript. Reference key numbers have been changed to the NNDC/TUNL format. (References closed December, 969) The original work of Fay Ajzenberg-Selove was supported by the US Department of Energy [DE-AC0-76-ER078]. Later modification by the TUNL Data Evaluation group was supported by the US Department of Energy, Office of High Energy and Nuclear Physics, under: Contract No. DEFG0-88-ER4044 (North Carolina State University); Contract No. DEFG0-9-ER4069 (Duke University).

2 Nucl. Phys. A (970) A = Table of Contents for A = Below is a list of links for items found within the PDF document. Figures from this evaluation have been scanned in and are available on this website or via the link below. A. Nuclides: B, C, N, O, F B. Tables of Recommended Level Energies: Table.: Energy levels of C Table.4: Energy levels of N Table.8: Energy levels of O C. References D. Figures: C, N, O, Isobar diagram E. Erratum to this Publication: PS or PDF

3 B B has been identified in the. GeV proton bombardment of uranium. It is particle stable (966PO09). See also (960ZE0, 96BAC, 966GA). GENERAL: C (Figs. 9 and ) See (960TAC, 96TAE, 964LIB, 964STB, 967LO0). See also (969AR).. C(β ) N Q m = 9.77 The half-life is. ± 0.0 sec (96DO7),.49 ± 0.07 sec (964NE09). The β-spectrum is complex. Transitions have been observed both to the ground state and to the upper of the. MeV levels of N: the latter transition is clearly allowed: see Table. (99AL06, 966AL, 969GA0). The ground state transition of N*(.) has E γ =.990± MeV (967CH9); J π for this state is (see Table.4). Thus J π ( C) = or (99AL06, 964AL: see also (96WA0)). See also (96KIB, 968ZHB) and N.. 9 Be( 6 He, α) Be Q m = 6.4 E b = Be was irradiated with 4 MeV neutrons and the decay of Be was observed [ 9 Be(n, α) 6 He, followed by the above reaction]: the cross section (which is determined for a large 6 He energy spread) is ± 0 mb (967ST).. 9 Be( 7 Li, p) C Q m = 9.09 Observed proton groups are listed in Table. (97MU99, 964CA0). τ m for C*(0.7) is (.77 ± 0.) nsec (968ME08: delayed coincidence technique). Angular distributions of the protons to C*(0, 0.7) are reported at E( 7 Li) =.6,.8, 6.0, 6. MeV by (969SN0) C(d, p) C Q m =.006

4 Table.: Energy levels of C E x (MeV ± kev) J π ; T τ Decay Reactions g.s. ; τ / =. ± 0.08 sec β,, ± 7 ; τ m =.76 ± 0.0 nsec γ, 4 (.48 ± 0).08 ± 40, 4 4. ± 0, 4 (4.60).9 ± 0, ± 0, ± 40 (6.84) (7.06) 7. ± 0, 4 (7.69) (8.00) 8. ± 60 (8.47) Table.: Beta decay of C (99AL06, 966AL, 969GA0) Decay to N* J π Branch (%) log ft a log ft b (MeV) (exp) (theor) g.s ,,, 9.0, a Using τ m =. ± 0.0 sec. b See (99AL97). ±.96 ± ± 4.04 ± (0.8 ± 0.) ± (.0 ± 0.6) 0.06 ± (. ± 0.) 0.99 ±

5 Table.: Proton groups from 9 Be( 7 Li, p) C and 4 C(d, p) C E x (MeV ± kev) E x (MeV) (97MU99) (99MOB) (964CA0) c ± 60 a 0.7 ± ± 0 b.08 ± ± ± ± ± a (97NO4) reports E x = 0.70 ± 0.0 MeV. b Not observed by (964CA0). c ±0 kev (private communication) Identification of C g.s. with N*(.6), T =, Jπ =, is suggested by (96BA6). At E d = 4.9 MeV, proton groups are observed to the ground state of C and to the levels at 0.7,.09, 4.,.94, 6.8 and 7. MeV (±0 kev) (99MOB). The angular distribution of ground state protons implies l n = 0, J π = (99MOB: see also (96PUB) and ref. 9 there, (964AL)); for the first excited state, l n =. θ = 0.09 and 0.0 (99MOB), 0.6 and 0.06 (966GL0) for the ground state and the first excited state, respectively. See also (967NE06). The 0.7 MeV level has a mean life of.7 ± 0. nsec (96LO0); E γ = 70 ± 7 kev. The angular distribution of the γ-rays requires J. Since the l n = stripping requires J π = or, J π = is established (96CH4). The observed lifetime excludes J > (96LO0). See also (964NE09, 96WA0, 966AL, 967CH9).

6 . 4 C(n, γ) C Q m =.8 The capture cross section is < µb (9YAA) O(n, α) C Q m =.009 See (966BAF). The following reactions leading to C have not been reported: C(t, p) C Q m = C(t, d) C Q m =.09 4 C(α, He) C Q m = 9.60 N(n, p) C Q m =

7 N (Figs. 0 and ) GENERAL: Model calculations: (97HAE, 99BRE, 99FEB, 960TAC, 96BAE, 96BUC, 96KUB, 964MAG, 96CO, 96FAB, 96GRH, 96GUA, 96ZAB, 966EL08, 966SO0, 967CO, 967EL0, 967PA0, 968ELA, 968HOH, 968MAB, 968SH08, 968WA04, 968ZH0, 969CHR, 969ELB). General calculations and reviews: (964EVA, 96BEB, 966OLC, 966WIE, 967FAA, 967LO0, 968BIC, 968ZHB, 969HAG, 969IWB). Electromagnetic transitions: (96RON, 966HA, 966PO, 966ROP, 966ROU, 966WAE, 967KUE, 967POJ, 967WAC, 968BIC, 968SH08, 968YAE, 968ZH06, 968ZHB, 969KHC, 969ZHA). Meson interactions: (969KAR). Other: (96BA0, 964VAD). Ground state: µ = nm (96BA6, 964LI4, 967COD). See also (96BR, 964STB, 96ICA, 96MAT, 966MAV, 966WIE, 967SH4, 968PE6, 968ROE, 969CHR, 969FU).. (a) 9 Be( 6 Li, p) 4 B Q m =.0 E b =.9 (b) 9 Be( 6 Li, α) B Q m = 4.47 (c) 9 Be( 6 Li, n) N Q m =.9 (d) 9 Be( 6 Li, 8 Be) 7 Li Q m =.87 (e) 9 Be( 6 Li, He) 0 B Q m =.9 The yield of p 0 and p (reaction (a)) for E( 6 Li) =.84 to 6.40 MeV shows some broad structure: analysis in terms of Ericson fluctuation theory gives a value of 0.4 MeV for the average level width at E x = 8 MeV in N (967SE08). The excitation functions for α 0, α and α (reaction (b)) [E( 6 Li) = to 4 MeV: (96LE0)] and the yield of N (reaction (c)) [E( 6 Li) =. to. MeV: (96NO0)] show a smooth increase in the cross section with energy. For reactions (d) and (e) see (96MC). See also (96BAQ).. 9 Be( 7 Li, n) N Q m =

8 At E( 7 Li) =.9 MeV, γ-rays are observed which are assigned to the ground state decay of N*(9.0, 9.8, 0.80) (964CA8). See also (97NO7). Table.4: Energy levels of N a E x (MeV ± kev) J π ; T τ m (psec) or Γ (kev) Decay Reactions 0.70 ± ± ± ± ± ± 8.6 ± ± 9.0 ± 9.8 ± 0. stable,, 4, 8, 9, 0,,, 4,,,, 4,, 6, 9, 0,, 9, 40, 4, 4, 4, 44, 4, 46, 49, 0,,,, 4,, 6, 7, 8, 9, 60, 6, 6, 6, 64, 6, 66 τ m =.9 ± 0. γ, 4, 8,,,,,, 6, 9, 0,, 9, 4,,,, 8, 9, 6 < 0.0 γ, 4, 8,,,,,, 6, 9, 0,, 9, 46,,,, 8, 9 < γ, 4, 8, 0,,,,, 6, 9, 0,, 9, 49,,,, 7, 8, 9, 6 < 0.08 γ, 4, 8,,,, 6, 9,, 9,,, 6 < 0.0 γ, 4, 8,,,, 6, 9,, 9, 46,,,, ± 0.0 γ, 4, 8,,,,, 9, 9,,, 6 < 0.00 γ, 4, 8,, 6, 9,, 9, 46,,,, 6 γ, 4, 8,,,, 6,, 9,,, 6 γ,, 4, 8,, 6, 9,, 9, 46, γ, 4, 8,,,, 9,, 9,, 9.49 ± 0. ( ) < 0.00 γ, 4, 8,,,, 9,, 9,, 9. ±. or b < 0. γ, 9, 9, 9.76 ±. γ, 9,, ± < 0.9 γ,, 4, 8,,, 9,, 9.99 ± 4 (, ) γ, 9 8

9 Table.4: Energy levels of N a (continued) E x (MeV ± kev) J π ; T τ m (psec) or Γ (kev) Decay Reactions ± γ,, 9,, 0.4 ± 7 γ, p,, 6, 9 () 0.6 ± γ, p, 6, ± () ± (0.94 ± 0).6 ± Γ =. n.94 ±.48 ±.6 ± 4 γ, p,, 6, 7, 9, γ, p,, 4, 8,,, 6, ± 0. γ, n, p 6, 7, 8,, 4.4 ±. γ, n, p, α, 6, 7, 8,, ; ± 6. γ, n, p 6, 7, ± 40 ± n, p, α, 8,,.877 ± ± 4 n, p, α, 8,,,.94 ± 6 ( 9 ) n,,.96 ±.097 ± 4.4 ±.6 ± 4.49 ± 4 () ; ;. ± 0.9 ± ± 0 ( 7 ± n, p, α, 8,, 4 ± γ, n, p, α, 6, 7, 8,,, 8 47 ± 7 γ, n, p, α, 6, 7, 8,,, 9 n, p, 8,, 4 γ, n, p, α, 6, 8,,, 8, 80 p 7, 67 ± 8 n, p, α, 6, 8,,, 8 0 p, α 6 ).4 < n, p, α, 6, n, p, α, 6, 8, ± 8 n, p, α, 6, 8, n, p, α 6, 8, (.) n, p 8.60 (, 7 ) ± 4 n, p, α, 6, 8,,, n, p, α 6, n, p, α,, 8.7 n, α n, p, α 8,, 8.89 n, α 9

10 Table.4: Energy levels of N a (continued) E x (MeV ± kev) J π ; T τ m (psec) or Γ (kev) Decay Reactions 4.0 p, α n, α 4. 0 n, p, α, 8,, 8, () ± n, p, α, 8,, n, α 4. n, α n, p, α,, p, α n, p ± n, p, α,, n, p, α, n, p n, p, α, 8, 8.00 n, p, α, 8. n, p, α, 8, 8,.9 n, α.7 n, t, α,. n, α 8.6 n, α.74 p, t, α.8 < n, p, t, α, 6,.89 ± 0 < n, t, α,.96 ± 0 n, t, α,.99 n, α 6.0 n, p, t, α, 6,, n, p, t, α, 6,, ± 40 n, p, t, α, 6, 6.9 n, p, t, α, 6, 6. ± 0 n, p, t, α, 6,, ± 0 n, p, t, α, 6,, ± 0 n, p, d, t, α, 6,, ± 70 n, p, t, α, 6,, ± 0 00 n, p, d, t, α, 6,,, 6,, 8 0

11 Table.4: Energy levels of N a (continued) E x (MeV ± kev) J π ; T τ m (psec) or Γ (kev) Decay Reactions 6.74 n, p, α, ± 0 n, p, d, t, α, 6,,, ± 0 t, α n, p, d, t, α, 6,,,, n, p, α, 6,, p, t 7.0 broad d, t, α, ± 0 n, p, t, α, 6, 7.9 n, p, α, 6, n, p, α, 6, 8, n, p, d, t, α, 6,, 6, 8, n, p, α, 6, n, p, α, ± n, p, d, t, α, 6, ± 0 00 n, d, α, ± 0 48 ± 9 (p), d, t, α 6, 8, n, α, n, p, α, ± 0 9 ± 4 (n), d, α, ± 0 4 (n), p, d, t, 6, n, α ± 0 0 ± 60 n, p, d, α, 6, 9, ± 0 0 n, d 9. γ, p γ, p 48.7 γ, p γ, p 48 a See also Tables.7 and.0. See (967PH0).. 0 B( 6 Li, p) N Q m = 8.7

12 Table.: Resonances in B α E α (MeV) Γ lab (kev) Particle out E x (MeV) J π Refs. a 0.60 n.4 (94BE08) b.0 n.7 (94BE08).8 n.86 (94BE08).0 n.9 (94BE08). n, p.0 (9SH46).8 n, p. (9SH46) n 0, p n 0, p 0.9 (9SH46, 96BO6, 98HAB, 99LE8) (96BO6, 98HAB, 99LE8, 96MA8, 966MA04) p 0.9 (99LE8, 96MA8).94 < 6 n 0, p 0. (96BO6, 98HAB, 99LE8).99 8 n 0, p 0.8 (96BO6, 98HAB, 99LE8, 966MA04). 9 n 0, p.6 (96BO6, 98HAB, 99LE8, 96MA8, 966MA04). 40 p.4 (99LE8, 96MA8).6 0 n 0, p.6 (, 7 ) (96BO6, 98HAB, 99LE8, 96MA8, 966MA04).64 0 p 0.66 (96MA8).7 40 n 0.7 (96BO6, 98HAB, 96MA8, 966MA04).76 n 0.7 (966MA04).9 n 0.89 (96MA8, 966MA04) 4. p (96MA8) 4.9 n 4.06 (96MA8, 966MA04) 4.4 n (96MA8, 966MA04) 4. n 4. (96BO6, 98HAB, 96MA8, 966MA04) 4. n (96MA8, 966MA04) 4.4 n 0 4. (96MA8, 966MA04) 4.6 p 0 (4.) (96MA8)

13 Table.: Energy levels of N a (continued) E α (MeV) Γ lab (kev) Particle out E x (MeV) J π Refs. a p (96MA8) n (96BO6, 98HAB).4 n (98HAB).49 n 0.0 (98HAB).8 n 0.08 (98HAB).86 n 0.9 (98HAB).98 n 0, n.7 (98HAB) 6.0 n 0, (n ).6 (98HAB) 6.60 n, p.8 (96ED0) c 6.7 n 0, (n ).9 (98HAB) 6.74 n 0, n.9 (98HAB) 6.8 n 0, n.99 (98HAB) 6.89 n, p 6.04 (98HAB, 96ED0) 6.94 n, p 6.08 (96ED0) 7.08 n, p 6.8 (96ED0) 7.6 n, p 6. (96ED0) 7. n, p 6. (96ED0) 7.4 n, p 6.4 (96ED0) 7.6 n, p 6. (96ED0) 7.6 n, p 6.60 (96ED0) 7.77 n, p 6.69 (96ED0) 7.84 n, p 6.74 (96ED0) 7.86 n, p 6.7 (96ED0) 8.07 n, p 6.9 (96ED0) 8.7 n, p 6.98 (96ED0)

14 Table.: Energy levels of N a (continued) E α (MeV) Γ lab (kev) Particle out E x (MeV) J π Refs. a 8.44 n, p 7.8 (96ED0) 8.46 n, p 7.9 (96ED0) 8.9 n, p 7.9 (96ED0) 8.68 n, p 7. (96ED0) 8.88 n, p 7.0 (96ED0) 8.96 n, p 7.6 (96ED0) 8.99 n, p 7.8 (96ED0) 9.49 n, p 7.9 (96ED0) a It should be noted that (94BE08), (98HAB) and (96ED0) are unpublished. They are quoted here only because of the dearth of 4 published information on these resonances. b And private communication. c Resonant energies listed by (96ED0) are ±40 kev.

15 At E( 6 Li) = 4.9 MeV, thirty proton groups are observed corresponding to N states with E x < 6.8 MeV. Angular distributions have been measured for the proton groups corresponding to N*(.7.0, 6., , 7.7, 8., 8.8, ) (966MC0). The ground-state γ-decay of N*(9.8, 0.80) is reported by (964CA8). See also (96MOB) B( 7 Li, d) N Q m =.7 At E( 7 Li) =. MeV, thirty deuteron groups are observed corresponding to N states with E x <. MeV. Angular distributions have been measured for the deuteron groups corresponding to N*(0,.7.0, 6., , 7.7, 8., 8.8, , 9.8) (966MC0). See also (96MOB). The ground state γ-decay of N*(8., 9.0, 9.8, 0.80) is reported by (964CA8).. B(α, n) 4 N Q m = 0.7 E b = 0.99 Reported resonances are displayed in Table. (94BE08, 9SH46, 96BO6, 98HAB, 96ED0, 96MA8, 966MA04). See also (96GOJ, 96GOJ, 96TSA) and (966WEB). See also 4 N. 6. B(α, p) 4 C Q m = E b = 0.99 Reported resonances are listed in Table. (9SH46, 99LE8, 96ED0, 96MA8). Partial widths for several resonances are listed by (99LE8, 96MA8). See also 4 C. 7. B(α, d) C Q m =.68 E b = 0.99 The yield of ground state deuterons has been measured for E α = 7 to MeV by (967AL6). See also C. 8. (a) B( 6 Li, d) N Q m = 9.0 (b) B( 7 Li, t) N Q m = 8. At E( 6 Li) = 4.7 MeV and at E( 7 Li) =.00 MeV, angular distributions are reported for the deuterons and the tritons corresponding to N*(0,.7.0, 6., , 7.7, 8., 8.8, ) (966MC0). See also (96MOB). Gamma rays are observed in reaction (a) which are assigned to the ground state transitions of N*(9., 9.8, 0.80) (964CA8). See also (96HOE) and (964HA09).

16 9. B( 9 Be, He) N Q m = See (96HOE). 0. B( 6 O, C) N Q m =.8 At E( 6 O) = 7, 0,. and MeV, angular distributions corresponding to transitions to N*(0, 6.) have been measured by (96BO4, 966BO): the ground state angular distributions show strong diffraction structure. See also (969GOR, 969BRD, 969KAG).. (a) C(t, n) 4 N Q m = 4.0 E b = 4.80 (b) C(t, p) 4 C Q m = 4.64 (c) C(t, t) C (d) C(t, α) B Q m =.88 Reported resonances are listed in Table.6 (96VA, 96GU0, 96KU09, 96NI04, 96SE0, 969ET0). The triton yield has been measured for E t = 9 to MeV by (96GL04). See also (96NED, 964GRH, 967CH), B and C in (968AJ0), and 4 C and 4 N.. C(α, p) N Q m = 4.96 Angular distributions of the protons corresponding to the ground state transition have been measured at E α =.4 to 6.0 MeV (967IVB), 6. to 9.0 MeV (960PR), 9.7 to. MeV (96YAC), 0.6 to. MeV (96KO04), to 9 MeV (99NO8) and at 4 MeV (96LI07). Angular distributions are also reported for the groups to N*(.7.0, 6., ) (99NO8: 4.6 MeV) and N*(6.) (96LI07: 4 MeV). See also (96EI0, 969GLD), (96KRA, 96HOD, 96TEB, 96DAB, 964DAD, 964KEC, 96NED, 966HIC, 967ROK; theor.) and (99AJ76).. C( 7 Li, α) N Q m =.8 Angular distributions have been measured at E( 7 Li) =. to 4.0 MeV (96HO06; α 0, α, α ) and 0. MeV (969GL07; α 0, α, α and the α s corresponding to N*(7., 7.6, 8.6, 9., 0., 0.9,.8,.,.). (969BAU) report the excitation of N*(.,., 4.9,.6, 6., 6.8, 8.9, 9.8) and (969GL07) also report α groups corresponding to N*(.8, 6.) 6

17 Table.6: Resonances in C t E t (MeV ± kev) E x (MeV) Particles out Refs α 0 (96NI04, 969ET0)..74 p 0, t 0, α (96GU0, 96KU09, 96NI04, 969ET0)..8 t 0 (969ET0).0 ± 0.89 n, α 0 (96VA, 969ET0).9 ± 0.96 n, t 0, α 0 (96VA, 969ET0) p 0 (969ET0) n, α 0, α (96VA, 969ET0).6 ± n, α 0 (96VA, 96SE0, 969ET0) α 0 (969ET0).8 ± 0 6. n, p 0, α 0, α (96VA, 96SE0, 969ET0).98 ± n, p 0 (96VA, 969ET0).0 ± p 0, t 0, α 0 (96SE0, 969ET0).8 ± 6.9 n, p 0, t 0, α 0, α (96VA, 969ET0).8 ± n, p 0, α 0, α (96VA, 96SE0, 969ET0).9 ± n, t 0, α 0, α (96VA, 96SE0, 969ET0).0 ± α 0, α (96SE0, 969ET0) α 0 (969ET0) p 0 (969ET0) t 0, α 0, α (969ET0).89 ± α 0 (96SE0, 969ET0) α (969ET0) and, possibly N*(7., 8.). The mean lifetime of N*(9.8) <.9 0 sec (see Table.7): E γ = 46.6 ± 4.0 kev ( N*(9.8.7)) (969TH0). See also (960SH0) and (969GIB, 969ROG). 4. (a) C( 4 N, C) N Q m = 7.88 (b) C( 9 F, 6 O) N Q m =.0 For reaction (a) see (969BRD); for reaction (b) see (969ROG).. C(d, n) 4 N Q m =. E b =

18 Table.7: Lifetimes of some N states E x (MeV) τ m (psec) Reaction Refs..7 > 6 O(t, α) (96AL9) 9 Be( 4 N, 8 Be) (969NI09).9 ± 0. 4 N(d, p) (967BI).0 < C(p, γ) (968COZV) (4. ±.8) 0 4 N(d, p) (96AL9) (. ± 0.7) 0 4 N(n, γ) (969WE07) 6. < N(d, p) (968GI) < N(n, γ) (969WE07) < C(p, γ) (968COZV) 7.6 < N(d, p) (968GI) 0. ± 0.0 C( He, p) (966LI07) 0.00 ± C(p, γ) (968COZV) 7.0 < N(d, p) (968GI) < N(n, γ) (969WE07) < C(p, γ) (968COZV) ± 0.0 C( He, p) (966LI07) 0.06 ± N(d, p) (968GI) 8. < N(d, p) (968GI) < N(n, γ) (969WE07) < C(p, γ) (968COZV) 9. < C(p, γ) (968COZV) < N(n, γ) (969WE07) 9. < 0. 6 O(γ, p) (969MU07) 9.8 < 0.9 C( 7 Li, α) (969TH0) 8

19 Table.8: Resonances in C d E d (MeV) Emitted particles Γ lab (kev) N* (MeV) Refs. 0.7 p 6.47 (96VA7) 0.64 n, p (90CU, 90RI7, 9KO4, 96MA46, 96VA7) 0.8 n (90RI7).0 α 0 broad 7. (96MA, 966KL06).4 ± 0.04 t (96MA).40 ± 0.04 p 0, t 0, α (96MA, 96MA46). a n 00 (94BEA, 90RI7, 966KL06).64 ± 0.04 t (96MA).78 ± 0.0 n, α (90RI7, 9MA76, 96MA).80 ± 0.0 (p 0 ), t 0, α ± (96MA, 96MA46).0 ± 0.0 (n), α 0, α ± (96MA, 96AL). ± 0.0 (n), p 0, t (96MA, 96MA46, 96AL).4 ± 0.0 n, p 0, α 0 70 ± (9MA76, 96MA, 96MA46).46 ± 0.0 n (9MA76, 96DE9) a Possibly to be identified with.40 MeV resonance (96MA). Observed resonances are displayed in Table.8 (90RI7, 9MA76, 96AL, 96DE9). Excitation functions have recently been measured for E d = 0.8 to. MeV (96JA09; n 0, n, n, n, n ),.0 to. MeV (96AL: 7.0 MeV γ-ray) and. to 4.0 MeV (96DE9; n 0 ). See also (960VA). Polarization measurements are reported for E d =. to 4.0 MeV (967MEN; n 0, n, n ) and.8 MeV (96GAG; n, n 4, n ). See also 4 N. 6. C(d, p) 4 C Q m =.9 E b = 6.60 Observed resonances are displayed in Table.8 (94BEA, 90CU, 9KO4, 96MA46). Excitation functions have recently been measured for E d = to.4 MeV (968LIL; p 0, p ),.0 to 4.0 MeV (96LA09: 4 C*(6.09, 6.7, 7.4)),. to 4. MeV (96DE9; p 0 ), and 4. to 6. MeV (968CO04; p ). See also (96AL). See also 4 C. 7. C(d, d) C E b =

20 Excitation functions for elastically scattered deuterons have been measured for E d = to.4 MeV (968LIL) and 4. to.7 MeV (968CO04). 8. C(d, t) C Q m =. E b = 6.60 Observed resonances are listed in Table.8 (96MA). (968LIL) report measurement of the t 0 excitation function for E d = to.4 MeV. A polarization study has been made at E d =. MeV (969DEH; t 0, t ). See also C. 9. C(d, α) B Q m =.68 E b = 6.60 Observed resonances are listed in Table.8 (96MA). See also (966KL06, 966KLF, 968CO04, 968LIL). 0. C(t, n) N Q m = 9.90 Not reported.. C( He, p) N Q m = Observed proton groups and γ-rays corresponding to N states are listed in Table.9 (99YO, 966GA08, 966WA08, 967PH0). Gamma-ray branching ratios obtained by (96WA6, 966PE04, 966WA08) are displayed in Table.0 which also shows J π values obtained from angular correlation measurements. The two states at E x = 9.6 MeV [see reactions and 9] are separated by. ± 0. kev (968ST0). See also (99BR79). The τ m for N*(7.6, 7.7) are 0. ± 0.0 psec and 0. ± 0.0 psec, respectively: see Table.7 (966LI07). Angular distributions of the ground state protons have been measured for E( He) = 8.7 to 0.9 MeV (96AL0). See also (99AJ76). See also (967YOC, 968WE), (96CLA, 966PRB) and 6 O in (97AJ0).. C(α, d) N Q m = This reaction has been studied at E α = 40. MeV: see Table.9 (969LU07). 0

21 Table.9: Energy levels in N from C( He, p) N and C(α, d) N E x (MeV ± kev) a (99YO) (966GA08) (966WA08) b (967PH0) (969LU07) c.8 ±.66 ± 0 6. ± 6.6 ± ± 7.70 ± ± 7.77 ± 7.8 ± ± 8. ± ± ± ± ± ± ± ± ± 9.69 ± 0 9. ± 6 9. ± ± 9.87 ± ± ± ± ± ± ± ± ± ± ± ± (0.94 ± 0) d a See also (96SH, 966GOJ, 966PHB). b E γ, except for E x = 0.94 MeV; errors for E γ are nominal. c C(α, d) N: E α = 40. MeV. d (969LU07) also reports levels at E x =.90 ± 0.00 (J π = ( 9 )),.8 ± 0.00 and.08 ± 0.00 MeV (J π = ( )).

22 Table.0: Radiative decays in N E i (MeV) J π i E f (MeV) J π f Branch (%) Refs (96WA6, 966PE04, 969SI04) < (96WA6) < (966PE04) < (966PE04) < (96WA6) < (96WA6) < (969SI04) < (968GI) < 4 (966HA0) 00 (96WA6, 966PE04, 968GI) > 97 (969SI04) < 9 (967TH0) < 4 (966AL8) < 4 (968GI) < (966PE04) (967TH0) < 0. (96WA6) 00 (966PE04, 969SI04) 98 ± (96WA6, 968GI) ± (96WA6) <. (968GI) ± (968GI) < (966PE04) < 0. (96WA6) < (96WA6) < 4 (966HA0) < (966PE04) 00 (96WA6, 966PE04, 968GI) < (96WA6) < 4 (966AL8) < 6 (968GI)

23 Table.0: Radiative decays in N (continued) E i (MeV) J π i E f (MeV) J π f Branch (%) Refs < 0.6 (96WA6) 80 ± (96WA6) 77 ± (966WA08) 70 ± 4 (966PE04) 79. ±.9 (967PH0) < (96WA6).0 0 ± (96WA6).7.0 ± (966WA08) c.7 ± (966PE04) 0.9 ±. (967PH0) 7.8 ± (96WA6) ± (966PE04) 4.4 ±.0 (967PH0) < (96WA6) 6 (966PE04). ± 0.6 (967PH0). ± 0.4 (96WA6) 4.4 ± 0.7 (967PH0) 4 ± 4 (96WA6) ± (966WA08) 7 ± 4 (966PE04).4 ±.0 (967PH0) 6 ± 4 (96WA6) 6 ± (966WA08).0 < (96WA6) ± 4 (966PE04) ±.0 (967PH0) ± (96WA6) 7 (966PE04).4 ± 0.6 (967PH0) < (96WA6) < 4 (966WA08).6 ± 0. (967PH0)

24 Table.0: Radiative decays in N (continued) E i (MeV) J π i E f (MeV) J π f Branch (%) Refs a < 0.7 (96WA6) < (966WA08) < (96WA6, 966WA08) 9 ± (96WA6) 9 ± 4 (966WA08) 9.6 ± 0.9 (967PH0).8 ± (96WA6). ± (966WA08) 4.7 ± 0.7 (967PH0) ± (96WA6) 4. ± (966WA08).7 ± 0. (967PH0) < 0 (96WA6). ± 0.4 (96WA6) < (96WA6) < (967PH0) 0 9. a ( ) 0 < 0. (96WA6) 97 (968ST0) 00 (969SI04).7.0 (968ST06) (968ST0) 7 (967TH0) 8 (967TH0).0 0 (967TH0) (968ST0) (969SI04) 8 (968ST0) 9 (969SI04) 0 (967TH0) 44 (968ST0) 8 (969SI04) 4 (967TH0) 7 9 (968ST0) 4

25 Table.0: Radiative decays in N (continued) E i (MeV) J π i E f (MeV) J π f Branch (%) Refs < 0 (96WA6) 4. ±. (967PH0) < (96WA6) ±.7 (967PH0) (96WA6) (96WA6) 4.7 ±. (967PH0) < 0 (96WA6) < (967PH0) < 0 (96WA6).6 ± 0.7 (967PH0) < 0 (96WA6) < (967PH0) 0 < (96WA6) 00 (96WA6) 8. ±.8 (967PH0).7.0 < 0 (96WA6) ±. (967PH0) < (96WA6).7 ± 0.8 (967PH0) < 0 (96WA6). ± 0. (967PH0) < (96WA6) < (967PH0) < 0 (96WA6).0 ± 0.6 (967PH0) < (96WA6) < (967PH0) < (96WA6) < (967PH0) < 0 (96WA6) < 4 (967PH0) 00 (96WA6)

26 Table.0: Radiative decays in N (continued) E i (MeV) J π i E f (MeV) J π f Branch (%) Refs..0 < (96WA6) ±.8 (967PH0) (, ) < (96WA6). ± 0.9 (967PH0) < 0 (96WA6).4 ±. (967PH0) < 0 (96WA6).7 ± 0.9 (967PH0) < 0 (96WA6) 7. ±.0 (967PH0) < (967PH0) 80 ± 0 (96WA6) 77.6 ±.9 (967PH0) ± 0 (96WA6) ±. (967PH0) 0 ± 0 (96WA6) 4.9 ±. (967PH0) < 0 (96WA6) < (967PH0) < (96WA6). ± 0.8 (967PH0) < 0 (96WA6) < (96WA6) 8.8 < (96WA6) 7.7, 8., 8.8 < (967PH0) 0 00 (96WA6) 96.0 ± 0.7 (967PH0) 94 ± 4 (966WA08).7.0 < 0 (96WA6) ± 0.7 (967PH0) 6 ± (966WA08) < (96WA6) < (966WA08) 6

27 Table.0: Radiative decays in N (continued) E i (MeV) J π i E f (MeV) J π f Branch (%) Refs b < 7 (96WA6) < (966WA08) < (96WA6) < (966WA08) < 7 (96WA6) < (966WA08) < (96WA6) < (96WA6) ± (96WA6) < 4 (966WA08, 967PH0) ± 8 (96WA6) ± (966WA08) 6.4 ±.4 (967PH0) ± 8 (96WA6) 8 ± (966WA08) 4.7 ±.6 (967PH0) < 0 (96WA6) < 6 (966WA08) 4 ± 4 (96WA6) < 6 (966WA08) < 0 (96WA6) < 6 (966WA08). ± 0. (967PH0) 9.0 < (967PH0) ± 0. (967PH0) ± 0.7 (967PH0) ±. (967PH0) 9.9 (, ).7 ±. (967PH0) < 4 (967PH0) ± 0. (969SI04) 0 ± (969SI04) 7 ± 0. (969SI04) ±. (969SI04) 7

28 Table.0: Radiative decays in N (continued) E i (MeV) J π i E f (MeV) J π f Branch (%) Refs (9.) (9.) ±. (969SI04).8 ± 0.4 (969SI04) < (969SI04) ± (969SI04) 8 ± (969SI04) 6 ± 0.4 (969SI04) < (969SI04) ± 0. (969SI04) < (969SI04) < (969SI04) < (969SI04) ± (96WA6) ± (966WA08) 47 ± (969SI04) ± 0. (969SI04).0 ± 0.6 (969SI04) ± (96WA6) ( 47 ± (966WA08) < (96WA6) < 0 (966WA08) 7 ± 0. (969SI04) < (96WA6) 9 ± 0. (969SI04) < (96WA6) < 4 (966WA08) 8 ± 0. (969SI04) < 7 (96WA6) ± 0. (969SI04) ± 0. (969SI04) ± 0. (969SI04) ) 4 ± 0. (969SI04) a See also (96WA6, 967PH0). b See also (960HE). c See also (969SI04). 8

29 . C( 6 Li, α) N Q m = Angular distributions have been measured for E( 6 Li) =. to.8 MeV for the α 0 and α groups (964BLB). 4. C( 7 Li, He) N Q m = See (969TH0).. C( B, 9 Be) N Q m = 0.4 See (966POE, 967POE, 967VOA) C(p, γ) N Q m = 0.08 Resonances for capture γ-radiation are listed in Table. (99FEC, 99HED, 968HE, 968SIF, 969SI04). A combination of N*(0.80) and (9.8) permits a good account of the low energy (n, n) and (n, γ) cross sections (99HED). The thermal (n, p) cross section can be ascribed to the E p =. MeV resonance ( N*(.6)) (9BA44: see also 4 N(n, γ) N). See also (99AJ76) and (969TI0). Table.0 displays branching ratios obtained in this and in other reactions. The angular distributions of γ-rays at the E p = 0. MeV resonance ( N*(0.4)) leads to assignments of J =, ( ), and, respectively, for N*(.7, 7.6, 7.0, 0.4) (960HE). The angular distribution of the (0.8 8.) γ-ray fixes J = for N*(8.) (968SIE). A triple correlation study by (968SIE) of the decay of N*(0.80) to the E x = 9. MeV states suggests J = for the upper and J = for the lower of these two states. Lifetimes for various N states have been measured by (968COZV): see Table.7. See also (960FR09, 96FRD, 969ZHA) C(p, p) 4 C E b =

30 Table.: Resonances in 4 C p a 0 E p Γ Γ n Γ p Γ γ J π d E x Refs. (MeV ± kev) (kev) (kev) (kev) (ev) (MeV) 0.6 ± a 0.4 (99HED, 968SIF, 969SI04) 0. ± a (.4 ± 0.4) 0 c 0.6 (99HED, 960HE, 968SIF, 969SI04) 0.7 ± a ± 0. c (99HED, 968SIF, 969SI04) 0.64 ± a 0. ± 0.04 c (99HED, 968SIF, 969SI04).6 ± 7.9 ± (9RO6, 9BA44, 96SA06, 968HA7).94 ± 4 4 ± 4.6. e (968HA7).88 ± ±. 4.6 ± ± ± (9RO6, 9BA44, 96SA06, 968HA7) e.47 ± 8 48 ± (968HA7).09 ± ± ± ± ± 0.4 ; T =.6 (99FEC, 968HE).688 ± (9RO6, 9BA44, 96SA06).788 ± , ( ).876 (9RO6, 9BA44, 96SA06).884 ± (9RO6, 9BA44, 96SA06).0 ± 4 b 4 ± (9RO6, 9BA44, 96SA06, 960BA4, 968HA7).077 ± b 47 ± (9RO6, 9BA44, 96SA06, 960BA4, 968HA7, 968HE) ().7 ± (9RO6, 9BA44, 96SA06, 960BA4, 968HA7).40 ± 4 b ; T =.49 (9RO6, 96SA06, 960BA4).48 ± ; T =. (968HA7, 968HE).908 ± (96SA06, 960BA4, 96HA, 96HA0).9..9 (960BA4, 96HA, 96HA0).8.6 (960BA4, 96HA, 96HA0)

31 Table.: Resonances in 4 C p a (continued) E p Γ Γ n Γ p Γ γ J π d E x Refs. (MeV ± kev) (kev) (kev) (kev) (ev) (MeV) (960BA4, 96HA, 96HA0). (.) (96HA0).6.60 (960BA4, 96HA, 96HA0).7.67 (96HA, 96HA0) (960BA4, 96HA, 96HA0) (960BA4, 96HA, 96HA0) (960BA4, 96HA, 96HA0) (960BA4, 96HA, 96HA0) (960BA4, 96HA) (96HA, 96HA0).4.00 (96HA, 96HA0).6. (96HA, 96HA0) a See also (99HEB) and Table. in (99AJ76). b The Γ α are < 0. kev for E res =.6 to. MeV, except for the resonances at E p =.0,.08 and.4 MeV for which they are, respectively, 0.6,. and. kev (96SA06). c ωγ (in ev) (968SIF, 969SI04). d See also (99AJ76). e These states correspond to the levels listed in the line below: a different boundary condition was used to obtain E res.

32 The elastic scattering has been studied for E p = 0.4 to.7 MeV. At the E p = 7 kev resonance (see Table.), the scattering is consistent with d-wave formation of a J π = state. No anomalies are observed at E p = 0. and 0.6 MeV (99HED). However, anomalies are observed at E p =.6,.9,.47,.0,.07 and.48 MeV: the parameters of these are displayed in Table. (968HA7, 968HE). The.48 MeV anomaly is due to a J π = ; T = state at E x =. MeV (which is the analog to the first excited state of C), and is distinct from the J π = resonance in 4 C(p, n) 4 N observed at E p =.4 MeV (968HE). See also (968IWA, 969IWE) C(p, n) 4 N Q m = 0.66 E b = 0.08 Resonances reported by (9RO6, 9BA44, 96SA06, 99FEC, 960BA4, 96HA, 96HA0, 968HE) are listed in Table.. In addition to these, (96HA) report (in an abstract) a broad resonance corresponding to a T = state of N at E x =.6 MeV. At E p =.79 MeV, the distributions favor, but is not excluded (9BA44: see also (9KA0)); a computation of the cross section favors J = (96SA06). At E p =.88 MeV, the angular distribution is consistent with the J π = assignment from 4 N(n, n) 4 N (9BA44). The E p =.7 MeV state has J = or ; the σ nn clearly indicates ther latter (9BA44, 96SA06). For N*(.6) (E p =. MeV), the proton reduced width indicates a single-particle level, while the neutron reduced width is only 0. This is consistent with the assignment T =, corresponding to the ground state of C (9BA44, 96BA6, 99FEC). See also (967VOB, 969BAN, 969TI0). Polarization measurements are reported at E p = 7., 8.8 and 0.4 MeV by (969WOJ; n 0, n, n ) C(d, n) N Q m = Angular distributions have been determined at E d =.,.8 and.8 MeV (967COR; n 0, n, n, n 46 ),. to.08 MeV (96IM0; n 0 ),.0 and. MeV (96IM0; n, n, n 46 ) and.0 MeV (967LA; n 0, n, n, n 4, n, n 6 and N*(8., 9.06, 9.6, 9.)). The transitions to N*(.0, 9.06) involve l p = 0: these states therefore have J π = (967LA). See also (99AJ76) and (96CH4, 964MOG). Studies of the γ-decay of N states reached in this and in other reactions are summarized in Table.0: see (96WA6). See also (967CH9) C( He, d) N Q m = 4.7

33 At E( He) = 4 MeV, angular distributions of the deuterons corresponding to N*(0,.8,.0, 6.) have been measured and analyzed by DWBA: the relative spectroscopic factors for the first four states of N are, 0.0, 0.4, 0.07 in good agreement with the predictions of (97HAE). Angular distributions of the d 0 group are also reported at E( He) = 9 MeV by (96WE, 966DUB, 968DAN).. 4 C(α, t) N Q m = Not reported.. 4 N(n, γ) N Q m = 0.8 Q 0 = 0.8 ± (968GR4). The thermal cross section is 80 ± 0 mb (97BA8), 7 ± 7. mb (964ST). This large cross section is not understood in terms of the present level structure in N: see (99AJ76). Observed capture γ rays are displayed in Table. (96MOC, 967TH0, 968GR4). The very accurate γ-ray energy determinations of (968GR4) show that two states at E x 9. MeV are involved in this reaction as previously suggested by (966WA08). The lower of the two, at E x = 9.8 MeV, decays predominantly to the ground state. The other state at E x = 9.49 MeV, which is preferentially fed in this reaction, decays primarily by cascades via N*(.7,.0, 6., 7.6) (968GR4). See also reactions and 9, (968GRZY, 968ST0) and Table.0. Recoil Doppler broadening of cascade γ-rays has been measured by (969WE07): the derived τ m are listed in Table.7. See also (968CAJ). Observation of non-isotropic correlations in the C 6. cascade means that J for N*(6.): the results are consistent with J = (964BA0). The importance of measuring the (n, γ) cross section at E n = 0.47 and 0.66 MeV for astrophysical considerations is suggested by (968FOA). See also (960CA0, 96JA09, 969HOX) and (98GR0, 964LIC).. 4 N(n, n) 4 N E b = 0.8 The thermal (bound) scattering cross section is. b (96WIA). The scattering amplitude (bound) is a = 9.9±0. fm (96DO4) [a = 9.4±0.0 fm is recommended by (964ST)]. See also (969BAP). The coherent scattering cross section is 0. ± 0. b (964ST). Recent cross section measurements are listed in Table.. Cross section data are summarized in (964ST), while angular distribution data are displayed in (96GOM). Observed resonances are listed in Table.4 (9JO, 9HI, 9FO7, 99HA, 966FOD, 966FOE, 966MAK, 968BO6, 968JOF): for a discussion of the evidence

34 Table.: Gamma radiation from 4 N(n, γ) N Transition in N E γ (MeV ± kev) E γ (MeV ± kev) I γ b (967TH0) (968GR4) (968GR4) (967TH0) (96MOC) C ± ± 0.6. ±.0 4 C.7.6 ±.6 ± ± 0. C.0.4 ±. ± ± 0.9 C ± ± ± C ±.6777 ± 0..9 ± 0.8 < C 7.0. ±. ± ± 0. 9 C 8.. ±.0 ± ± 0. 6 C ± ± 9. ± 0. C ± ± 0. d ±.69 ± ± ± ±.978 ± ± 0..4 ± ± 6.0 ± ± ± ± ±.8848 ± ± ± 0.8 ± ± ± ± ± ± 8.0 ± ± ± ±. ± ± ± 4 c 0. ± ± ± 4 c 0. ± ± ± ± ± 0..7 ± ±.887 ± ± ±.8 ± 0..0 ± ±.8 ± 0..0 ± ±.9996 ± ± 0. 4 a C = capturing state. b In units of photons/00 captures. c (967TH0). d (968GR4). 4

35 leading to J π assignments, see (99AJ76). See also (960BA4) and (966AGA, 967BEF, 968IWA, 969IWE). A polarization measurement has been made at E n =. MeV by (96OT0). See also (96TA07) N(n, n) N Q m = 0. E b = 0.8 Table.: Recent cross section measurements for 4 N n a E n (MeV) Measurements of Refs σ t (99BI9) σ t (960BA4).0 4. σ t (966MAK, 968JOF) σ ne (968BO6) σ e (968BO6) 4., 6, 7 σ nn γ (968COW) σ nn γ (969DIB) σ t, σ e, σ ne (967BA0). 9. σ e (968BO6) 4 σ e (96BA46) σ ne (969NYA)., 9.8 σ ne (96DEG). σ t, σ ne (968HAV) σ t (960PE) 88 σ t (966ME4) 0 7 σ n,n (96BRA). 8 σ n,n (960FE). 8.8 σ n,n (96BO4).. σ n,n (960MC0) 4. σ n,n (96CEB) 4.4 σ n,n (96RA06) 4.7 σ n,n (967PA7) 4.8 σ n,n (96GR4). 4. σ n,p (99GA4)

36 Table.: Recent cross section measurements for 4 N n a (continued) E n (MeV) Measurements of Refs σ n,p (969DIB) 4.7 σ n,p, σ n,np (966CSB, 967CS0) σ n,p, σ n,d (969NYA) σ n,t (966SC).7 8. σ n,t (99GA4) 4. σ n,α (967MO) σ n,t (969NYA).7 σ n,t (967MO). 8. σ n,α (99GA4) σ n,α (966SC) σ n,α (968COW).7 8. σ n,α (99HA) σ n,α (969DIB) 4.7 σ n,α (966CSB) σ n,α (969NYA) a See also (99AJ76). Recent measurements of cross sections for this reaction are listed in Table. (960FE, 960MC0, 96BRA, 96RA06, 96CEB, 96BO4, 96GR4, 967PA7): see the summaries in (964ST, 966JEB). See also (964HE8, 966CSC, 967CS0) and (99AJ76).. 4 N(n, p) 4 C Q m = 0.66 E b = 0.8 The thermal cross-section is.8 ± 0.0 b (964ST),.8 ± 0.0 b (96HA4). A number of resonances are reported by (90JO7), (99GA4) and (96EN0): see Table.4. The results are summarized in (964ST, 966JEB). See also (960BUC, 968DAF). Recent cross-section measurements are listed in Table. (99GA4, 966CSB, 967CS0, 969DIB). See also (964FOA, 969BAN) and (99AJ76). 6. (a) 4 N(n, d) C Q m =. E b = 0.8 (b) 4 N(n, np) C Q m = 7.0 For reaction (a) see (967LI06) and (99AJ76). For reaction (b) see (966CSB, 967CS0). 6

37 Table.4: Resonances in 4 N n a 7 E res (MeV ± kev) Γ lab (kev) Γ n (kev) Γ p (kev) Γ α (kev) J π N* (MeV) Refs ±. < < (9JO, 9HI) ± < < ± ± (90JO7, 9HI, 96EN0).4 (90JO7, 9JO, 9HI).766 (90JO7, 9JO, 9HI).0 ± ± 6. < < (9HI). ± ± ± () () ().880 (9JO, 9HI, 9FO7).96 (9HI).094 (9JO, 9HI, 9FO7, 99GA4).4 (90JO7, 9JO, 9HI, 9FO7, 99GA4).9 ± 8 0. < ± ( ).494 (90JO7, 9HI, 9FO7, 99GA4, 966FOE). (9HI, 9FO7, 99GA4, 966FOD, 966FOE) (99GA4, 966FOD, 966FOE, 966MAK, 968JOF).47 < r.4 (99GA4). 7 r.9 (99GA4).7 40 r.74 9 r.6 (99GA4).9 (99GA4) r r.7 (99GA4).9 (99GA4, 966FOE, 966MAK, 968JOF). 8 r r.8 (99GA4, 966FOE, 966MAK, 968JOF). 0 r r 4. (99GA4).7 0 r r 4.7 (99GA4, 966MAK, 968JOF) (99GA4) r r 4.6 (99GA4, 966SC) r r 4.7 (99GA4) r 4.9 (99GA4, 966SC) 4.60 r. (99GA4, 966SC).0 r. (99GA4, 966SC, 968BO6) r 6.06 (99GA4, 966SC, 968BO6) ()

38 Table.4: Resonances in 4 N n a (continued) E res (MeV ± kev) Γ lab (kev) Γ n (kev) Γ p (kev) Γ α (kev) J π N* (MeV) Refs..94 r 6.8 (99GA4, 966SC) r 6.8 (99GA4, 966SC) r r 6.67 (99GA4, 99HA, 966SC) r r 6.9 (99GA4, 99HA) 6.94 r 7. (99GA4) 00 r (99HA) 7.6 r 7. (99GA4) r 7.68 (99GA4) r r 7.8 (99GA4, 99HA) r 8. (99HA) r 8.0 (99GA4, 99HA) 8 r = resonant channel. a See also (99AJ76).

39 7. (a) 4 N(n, t) C Q m = 4.0 E b = 0.8 (b) 4 N(n, t) 4 He 4 He 4 He Q m =.89 (c) 4 N(n, α) 7 Li Q m = 8.8 For reaction (a) see (99GA4, 966SC, 967LI06, 967RE0) and (968AJ0). For reaction (b) see (967MO). For reaction (c) see (967MO). See also (960FA0, 964SAE), Table., the summaries in (964ST, 966JEB) and (99AJ76). 8. (a) 4 N(n, α) B Q m = 0.7 E b = 0.8 (b) 4 N(n, nα) 0 B Q m =.6 Recent cross-section measurements for reaction (a) are displayed in Table.: these include measurements of cross sections for several different α-groups (99GA4, 966SC) and γ-rays (99HA, 968COW, 969DIB). For summaries of the experimental evidence, see (964ST, 966JEB). Observed resonances are listed in Table.4 (90JO7, 99GA4, 966SC). See also (960FA0), (960BUC, 96CHC) and (964GAA, 968GAM; theor.). For reaction (b), see (960FA0) N(d, p) N Q m = 8.60 Q 0 = 8.64 ± (964MA7). Proton groups corresponding to levels of N are listed in Table. (90MA6, 94SP0, 96DO4, 96AL9, 966GA08, 966GOJ, 969PH0). The J π assignments are based on PWBA and DWBA analyses: see (99AJ76), (969PH0) and Table.6 for a listing of recent angular distribution studies in the range E d = 0. to 7 MeV. See also (966ROV). The angular distributions of protons corresponding to N*(6.) and the p-γ angular correlation fixes J π = for that state (96GO0). (960HOB) has looked for additional states of N with E x 7 MeV: he finds the upper limits to proton groups corresponding to 7.0 < E x < 7. to be %, and to be % of the intensities of groups to known nearby states for 7. < E x < 7.7 MeV. Recent very accurate γ-ray energy measurements have been reported by (967CH9) [E γ = 99.0 ± 0.4 and ± 0.46 kev] by (966AL8) and by (96WA6): the derived E x values are displayed in Table.. Branching ratios have been determined by (96WA6, 968GI, 968ST0) and are shown in Table.0 together with the multipolarities determined by (96WA6). Lifetime measurements are listed in Table.7 (96AL9, 967BI, 968GI). The two states of N at E x = 9. MeV [see Table.0 for branching ratios] are separated by. ± 0. kev (968ST0, 969YOC): see also reaction. 9

40 Table.: N levels from 4 N(d, p) N 40 E x (MeV ± kev) l n J π (90MA6, 966GOJ) (94SP0) (96DO4, 967CH9) A (966GA08) 0 b.76 ± 6.80 ± 0.79 ± 0.46 a.7 ± 0 c 7.0 ± ± 0.4 a.00 ± c,d 6.8 ± ± 0 e,i 7.64 ± ± 0 7. ±.7 f,i ± ± ± 8 0 f,i 7.7 ± ± ±.0 g,i 7 8. ± ± ± ± 4. 0 e,i 8.7 ± ± ±. 8.8 ± 0 h,i ± ± 9.6 ± ± 6 i,, 9. ± ± 6 or i ( ) 9.76 ± ± ± ± ± ± ± ± 6, 0 i 0.48 ± ± ± ± ± ± 7, 0 i 0.8 ± ± 9 i. j j,,,,,,

41 A: (96AL9, 96WA6, 966AL8). a See also (96AL9, 96WA0). b (9GI0, 97WA0). c (9SH8: see (98WAC)). d Isotropic: no clear stripping pattern. e (9GI0, 9SH8, 96GR7, 98WAC). f (9SH8, 96GR7). g (96GR7): (97WA0) find a possible l = 0 component. h (9SH8, 97WA0). i (969PH0): absolute spectroscopic factors are also given. j (96GR7). k (96GO0). (This footnote is not labeled in the table content.) 4

42 Table.6: 4 N(d, p) N angular distribution studies a E d (MeV) Distribution of proton groups Refs p 0, p, p (97SJ68, 96SJB). p 0, p p 7 (967BE09). p 4 p 7 (969BE08).. p, p, p 4, p, p 6 (969GO4)., 4. p, p (96GO0, 96FI0, 966GA09).. p 0 (96GO, 96FI0, 966GA09).4 p 0, p (969BE08).4. p 0, p p (96KA0) p p, p 7 (96RO) 7, 8, 9 p 8, p 0, p, p 6, p 9, p 0 (969PH0) p 0 (967SC9).8,. p 0 (96MO) 6 p 0 (960MO0) 7 p 0 (96ER0) a See (99AJ76) for earlier references. See also (96JA, 96TE0, 96ST7, 96GOL, 96HEB), (99BOC, 960BEB, 96KOE, 96TAA, 964BAV, 964STJ, 966HOD; theor.), (99AJ76) and 6 O in (97AJ0) N(t, d) N Q m = 4.77 The angular distribution of the deuterons corresponding to the ground state of N has been measured at E t =.0,.8 and.98 MeV. The cross section at E t = MeV is 48 mb: this large value and the energy and angular behavior of the differential cross section suggest that this reaction may proceed by a cluster exchange process (964SC09) N(α, He) N Q m = 9.74 At E α = 6 MeV, the angular distribution of the ground state He particles has been measured by (969GA) and analyzed by DWBA: the ratio of the (α, He) and (α, t) cross sections at this energy is.0 ± 0.. See also (968GAC). 4

43 4. 4 N( 9 Be, 8 Be) N Q m = 9.70 The lifetime of N*(.7) is psec (969NI09): see Table.7 and (967BI). See also (96HOE) N( B, 0 B) N Q m = 0.6 See (967PO). See also (969BRD) N( 4 N, N) N Q m = 0.8 Angular distributions of the transition to the ground state of N have been measured for E( 4 N)(cm) =. to 6 MeV (96TO07, 964JOA, 96BEB, 96HIA). See also (96TO0). Below 6. MeV, the tunneling theory of neutron transfer gives a good account of the data. At higher energies, nuclear absorption of the incident 4 N ions occur (96HIA, 966GA04). See also (968GA0). For reviews of the work on this reaction, see (964FLD, 967DAE, 967VOA, 969BRD). For discussions of relevant theories, see (96BRG, 96BRG, 964BRM, 964GRG, 96BRF, 966BUB, 967BRM, 967BRQ, 967PED, 968MAG, 968NAF, 969KAG) N( 9 F, 8 F) N Q m = 0.40 See (968GA0). 46. C(β ) N Q m = 9.77 The β decay takes place to N*(0,.0, 7.0, 8., 9.0): see Table.. Measurements of γ-ray energies give E γ = 99.0 ± 0.4 kev (967CH9), 8 ± 6 and 9048 ± 4 kev (966AL). See also C. 47. N(γ, n) 4 N Q m = 0.8 See (967ZHA, 968YAE, 969ZHA). 4

44 48. N(γ, p) 4 C Q m = 0.08 The integrated cross section for transitions to 4 C(0) for E γ up to 0. MeV = ± MeV mb, assuming an isotropic angular distribution. Pronounced maxima are observed at E γ = 9., 0.4,.7 and 4. MeV. In addition a pigmy resonance at E γ =. MeV and less pronounced structures at E γ =.6 and 7.0 MeV are also observed (964KO0). See also (96FI04) and (967ZHA, 968YAE, 969UBC, 969ZHA). 49. N(e, e) N Using the harmonic oscillator function, analysis of the scattering of 0 and 400 MeV electrons gives, respectively, r rms =.68±0.0 fm and.6±0.0 fm for N (968DAQ). At E e = 07 MeV, excitation of N*(6.) gives Γ 0 γ (M) =.4 ± 0.7 ev and Γ0 γ (E) = 0.06 ± 0.0 ev: δ(e/m) = 0. ± 0.0 (968BE4). 0. N(n, n) N See 6 N.. 4 N(p, p) N The angular distribution of elastically scattered protons has been measured at E p = 9.8 MeV (969SN04). See also (96NAC).. N( He, He) N At E( He) = 9.8 MeV, a number of inelastically scattered He groups are observed corresponding to states in N: see Table.7. Angular distributions were obtained for a number of these, and were analyzed using a local two-body interaction with an arbitrary spin-isospin exchange mixture (969BA06). See also (968BAE). (969BO) measured the angular distribution of elastically scattered He particles at E( He) = MeV.. N(α, α) N 44

45 Table.7: N levels from N( He, He ) and N(α, α ) N* a (MeV ± kev) L a N* b (MeV) L b ± c c c 9.7 ± ± ± ± 40.4 ± 40.9 ± 40. ± ± 40. ± 40 a ( He, He ): (969BA06). b (α, α ) (966HA9). The E x were determined. c Weakly excited. See also (96BU0, 969BA06). 4

46 The surface thickness a = 0.6 fm, as determined from analysis of the scattering of 44 MeV α-particles from N (968FAA). At E α = 40. MeV, a number of particle groups have been observed, and angular distributions have been measured: see Table.7 (966HA9). See also (96BU0), B(E) /e = 4.9 fm 4 for N*(6.): B(E) /e = 60 fm 6 for both N*(.7, 7.7) (966HA9). See also (969BA06). 4. O(β ) N Q m =.760 See O.. (a) 6 O(γ, p) N Q m =.6 (b) 6 O(e, ep) N Q m =.6 Over the giant resonance region in 6 O, the decay takes place to the odd parity states of N at E x = 0 and 6. MeV as well as to both of the even parity states at E x =.7 and.0 MeV. The branching ratios are functions of the excitation energy in 6 O and of the authors: see (96DE4, 96MA4, 96MO, 966KOG, 966OW0, 967CAC, 967CAP, 968BAL, 969MU07, 969SH0). The results are in fair agreement with the predictions of the single-particle, single-hole theory of photoexcitation of 6 O, although some non-single-particle excitation appears to be necessary in some portions of the 6 O giant resonance: see, e.g. (968BAL). High-energy γ-rays have also reported from the decay of N*(7.0, 8., 9.0, 9.) (968BAL, 969HOT, 969MU07). See also the review in (968SCB), (97JO0, 99BR69, 96SC, 968TU0, 969FR0, 969UL0) and (968ZHB; theor.). The τ m of N*(.7) >> 0. psec; τ m for N*(6., 9.) < 0. psec (969MU07): see also Table.7. For reaction (b), see (96DOA) O(n, d) N Q m = 9.90 Angular distribution of the deuterons corresponding to the ground state of N have been determined at E n = 4.4 MeV (964PA, 96VA0) and at 4 MeV (96GA0). See also (96DIE; theor.) O(p, p) N Q m =.6 At E p = 460 MeV, the summed proton spectrum shows two peaks corresponding to the knowckout of p / and p / protons with binding energies of.4 and 9.0 MeV, respectively [ N*(0, 6.)] (966TY0). See also the discussions in (96CLB, 96RIB), (96FO0, 967FUA), (96BEA, 96BE4; theor.) and (99AJ76). 46

47 8. 6 O(d, He) N Q m = 6.6 Angular distributions of the He groups have been measured at E d = 0 MeV (969PU04: to N*(0,.7,.0)), 8 MeV (968GA: to N(0)), 4.4 MeV (967HI06: to N*(0,.7.0, 6.)), MeV (969KAA, 969KAW: to N(0)), and 8 MeV (969DO04: to N*(0,.7.0, 6.)) and analyzed by DWBA. The He group to N*(.) does not show a stripping pattern (969PU04). See also (968BAJ; theor.) O(t, α) N Q m = Angular distributions have been measured at E t = 0.9 to.7 MeV (967KOG; α 0 ),. to.9 MeV (99JO; α 0 ),. to.0 MeV (966SED; α 0 ), and MeV (96AJ0; α 0, α, α ). A γ-ray with E γ =.7 ± 0.00 MeV has been observed in this reaction: see Table.7 (96AL9). See also (99AJ76) O( 4 N, O) N Q m = 4.8 See (96TOD, 969BRD) O(d, α) N Q m = 9.80 See (94PA9) O(p, α) N Q m =.98 Angular distributions of ground state α-particles are reported at E p = 0.84 to.00 MeV (96CA0) and at 7.9, 0.6 and. MeV (964EC0). Angular correlation measurements lead to J =,, ( ), ( ) for N*(.8, 6., 8., 8.8) (96WA06), J =,,, 7 for N*(.8, 7.6, 7.0, 7.7) (966HA0), J = for N*(6.) (966LO0). The M/E mixing ratio of the 7.0 g.s. transition indicates an unusually large retardation of an E transition in a nonself-conjugate nucleus (966HA0). J = for N*(.7) and the mixing parameter fix J = for N*(0.4) which fed the first excited state of N (99HED) in the 4 C(p, γ) N reaction (96WA06). See also (960CL0, 96LO0, 964AMA, 964MA, 964MA7, 964SC0), (99AJ76) and 9 F in (99AJ76, 97AJ0). 47

48 6. 9 F(γ, α) N Q m = 4.0 See (96HAG). 64. (a) 9 F(p, pα) N Q m = 4.0 (b) 9 F(α, α) N Q m = 4.0 For reaction (a) see (96FO0). For reaction (b) see (96LA0) F(d, 6 Li) N Q m =.9 Angular distributions of the 6 Li ions corresponding to N(0) have been measured at E d = 9.0 to. MeV (967DE4), 4. MeV (964DAB), 4.9 MeV (966DE09) and MeV (96SLC). Attempts have been made to fit the data with DWBA: see references above and (96DRB). See also (964BLC) F( 4 N, 8 F) N Q m = 0.40 See (96WIA). 48

49 O (Figs. and ) GENERAL: Model calculations: (960TAE, 960TAC, 96CO, 96KUB, 964ALL, 964AMD, 964BRH, 964RIA, 96CO, 96GIB, 96GRH, 96GUA, 96HUD, 966BOR, 966EL08, 966RIF, 966SO0, 967BOT, 967EL0, 968DE, 968ELA, 968HOH, 968MAB, 968SH08, 968WOC, 968ZHB, 968ZU0, 969DE6, 969ELB, 969GUM, 969SAJ). General calculations and reviews: (964EVA, 967FAA, 967NED, 968BIC). Electromagnetic transitions: (96RON, 966PO, 966ROP, 966WAE, 967KUE, 967POJ, 967WAC, 968BIC, 968SH08, 968ZHB, 968ZH06, 969KHC, 969ZHA). Other: (966WAK, 967AUB, 969FOD, 969HAG). Ground state: J = (96CO7); µ = nm (96CO7, 964LI4, 967COD). See also (964STB, 96MAT, 966MAV, 967NED, 967SH4, 968PE6, 968ROE, 969FU).. O(β ) N Q m =.760 Reported half-lives are listed in Table.9 (94KL6, 9BA8, 97KI, 97PE, 99KI99, 960JA): the weighted mean is.4 ± 0.6 sec. See also (96CS0, 96VA). Using this value for τ / and Q m, log ft =.64. See also (968BA4) and (96GAD, 966MIF, 967AMH, 968SH08, 969LED, 969SU; theor.).. 7 Li( 4 N, 6 He) O Q m =.687 See (97AL78).. (a) 0 B( 6 Li, n) O Q m =.09 (b) 0 B( 7 Li, n) O Q m = 7.97 See (97NO7). 49

50 Table.8: Energy levels of O a E x (MeV ± kev) J π τ m (psec) or Γ (kev) Decay Reactions 0.8 ±.4 ± ± ± ± ± ± ± ± 6 τ / =.4 ± 0.6 sec β,,, 4, 6, 7, 8, 9, 6, 7, 8, 9, 0,,,, 4,, 6, 7, 8, 9 τ m < 0. psec γ 8, 9, 6, 7,, 4,, 6. ± 0. γ 8, 9, 6, 7, 0,,, 4,, 6 < γ 8, 9, 6, 7,,, 4,, 6 < 0.08 γ 8, 9, 6, 7, ± 0.06 γ 8, 9, 6, 7,, 6 γ 8, 6, 7,, 4, 6 Γ =.7 ± 0. kev γ, p 9, 6, 7,.6 ± 0.7 γ, p 9, 7, γ, p ±.4.7 ± γ, p 8, 9, ±.6 (, ).9 ± 0.4 γ, p 8, 9, 9.48 ± 0. ± 0. γ, p 8, 9, 9.0 ± 40 ( ) 80 ± 4 γ, p ± ± ± 0. γ, p 8, 9,, 4 ± p 8, 0, 9.7 ± 0 (, ) 90 ± 0 γ, p ± 8 6 ± 4 p 0, 0.46 ± 0 47 γ, p 9, 0,, ± 0.99 ± p 0, 84 γ, p 9, 0,.0 ± 7 p 0. ± < 0 p 0.0 ± (, ) 6 γ, p 9, 0,. ± 00 T = 8.6 ± < 0 p γ, p 0.7 ± p 9 0

51 Table.8: Energy levels of O a (continued) E x (MeV ± kev) J π τ m (psec) or Γ (kev) Decay Reactions.6 ± ( ) p 0.7 ± < 0 p 0,.7 ±.846 ± 0.98 ±. ± 80 p 0 0 p 0 0 p 0 60 p 0 ) 60 p 0.47 ± (.8 0 γ, p p p, He, α, 0,. p, d, He, α.4 broad (p, α) 0,.49 ( ) p p, α p γ, p 9 n, p, He, α, 0,, 4.0 ± 40 (, ) 60 ± 0 n, p, He ± p, α 40 ± 0 n, p, He, α, 0,, p, α ± 0 00 ± 0 n, p, He, α, 4.69 ± ± 0 n, p, He, 4.9 ± ± n, p, He,.4 ± 0 6 ± p, He, α.6 ± ± p, He, α.84 ± 0 (, ) 0 n, p, He, α, 6.04 He, α 6.09 n, He, α 6.9 He, α 6.4 ± 0 70 He, α

52 Table.8: Energy levels of O a (continued) E x (MeV ± kev) J π τ m (psec) or Γ (kev) Decay Reactions 6.48 ± 0 60 ± 90 n, p 6.77 ± 0 00 n, He, α 7.0 ± 0 (, ) 600 n, p, He, α 7.99 ± 0 (, ) 00 He, α 8. ± 0 n, p, He 9.0 ± 0 n, He 9.90 ± 0 n, p, He broad γ, p 9 a See also Tables. and.. 4. B( 6 Li, n) O Q m =.7 See (96HOE).. (a) C( He, n) 4 O Q m =.48 E b =.07 (b) C( He, p) 4 N Q m = (c) C( He, d) N Q m =.0 (d) C( He, He) C (e) C( He, α) C Q m =.88 (f) C( He, 8 Be) 7 Be Q m =.78 Excitation functions for these reactions have been measured over a wide range of energies: see Table.0. Observed resonances are displayed in Table.. For discussions of angular distribution measurements which have been measured at many energies over the range displayed in Table.0, see the writeups of 7 Be in (966LA04), C and C in (968AJ0), and N, 4 N, and 4 O. See also (964DEE). Consideration of the relative yields at E( He) =. and. MeV lead to the tentative J π assignments given in Table. for O*(.00,.79) (97BR8). The assignments for O*(4.0, 4.7, 4.46) are derived from analyses of the He elastic scattering, particle and γ 6.44 angular distributions, and the total cross sections of the n 0 and p groups (964KU0). Above E( He) MeV, the excitation functions show broad maxima (see Table.) but it is not

Energy Levels of Light Nuclei A = 20

Energy Levels of Light Nuclei A = 20 Revised 20 Manuscript 19 June 2008 Energy Levels of Light Nuclei A = 20 F. Ajzenberg-Selove University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396 Abstract: An evaluation of A = 18 20 was published

Διαβάστε περισσότερα

LIGHT UNFLAVORED MESONS (S = C = B = 0)

LIGHT UNFLAVORED MESONS (S = C = B = 0) LIGHT UNFLAVORED MESONS (S = C = B = 0) For I = 1 (π, b, ρ, a): ud, (uu dd)/ 2, du; for I = 0 (η, η, h, h, ω, φ, f, f ): c 1 (uu + d d) + c 2 (s s) π ± I G (J P ) = 1 (0 ) Mass m = 139.57018 ± 0.00035

Διαβάστε περισσότερα

ΕΙΣΑΓΩΓΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΑΝΑΛΥΣΗ

ΕΙΣΑΓΩΓΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΑΝΑΛΥΣΗ ΕΙΣΑΓΩΓΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΑΝΑΛΥΣΗ ΕΛΕΝΑ ΦΛΟΚΑ Επίκουρος Καθηγήτρια Τµήµα Φυσικής, Τοµέας Φυσικής Περιβάλλοντος- Μετεωρολογίας ΓΕΝΙΚΟΙ ΟΡΙΣΜΟΙ Πληθυσµός Σύνολο ατόµων ή αντικειµένων στα οποία αναφέρονται

Διαβάστε περισσότερα

상대론적고에너지중이온충돌에서 제트입자와관련된제동복사 박가영 인하대학교 윤진희교수님, 권민정교수님

상대론적고에너지중이온충돌에서 제트입자와관련된제동복사 박가영 인하대학교 윤진희교수님, 권민정교수님 상대론적고에너지중이온충돌에서 제트입자와관련된제동복사 박가영 인하대학교 윤진희교수님, 권민정교수님 Motivation Bremsstrahlung is a major rocess losing energies while jet articles get through the medium. BUT it should be quite different from low energy

Διαβάστε περισσότερα

(1) Describe the process by which mercury atoms become excited in a fluorescent tube (3)

(1) Describe the process by which mercury atoms become excited in a fluorescent tube (3) Q1. (a) A fluorescent tube is filled with mercury vapour at low pressure. In order to emit electromagnetic radiation the mercury atoms must first be excited. (i) What is meant by an excited atom? (1) (ii)

Διαβάστε περισσότερα

Problem Set 9 Solutions. θ + 1. θ 2 + cotθ ( ) sinθ e iφ is an eigenfunction of the ˆ L 2 operator. / θ 2. φ 2. sin 2 θ φ 2. ( ) = e iφ. = e iφ cosθ.

Problem Set 9 Solutions. θ + 1. θ 2 + cotθ ( ) sinθ e iφ is an eigenfunction of the ˆ L 2 operator. / θ 2. φ 2. sin 2 θ φ 2. ( ) = e iφ. = e iφ cosθ. Chemistry 362 Dr Jean M Standard Problem Set 9 Solutions The ˆ L 2 operator is defined as Verify that the angular wavefunction Y θ,φ) Also verify that the eigenvalue is given by 2! 2 & L ˆ 2! 2 2 θ 2 +

Διαβάστε περισσότερα

2 Composition. Invertible Mappings

2 Composition. Invertible Mappings Arkansas Tech University MATH 4033: Elementary Modern Algebra Dr. Marcel B. Finan Composition. Invertible Mappings In this section we discuss two procedures for creating new mappings from old ones, namely,

Διαβάστε περισσότερα

In your answer, you should make clear how evidence for the size of the nucleus follows from your description

In your answer, you should make clear how evidence for the size of the nucleus follows from your description 1. Describe briefly one scattering experiment to investigate the size of the nucleus of the atom. Include a description of the properties of the incident radiation which makes it suitable for this experiment.

Διαβάστε περισσότερα

CHAPTER 25 SOLVING EQUATIONS BY ITERATIVE METHODS

CHAPTER 25 SOLVING EQUATIONS BY ITERATIVE METHODS CHAPTER 5 SOLVING EQUATIONS BY ITERATIVE METHODS EXERCISE 104 Page 8 1. Find the positive root of the equation x + 3x 5 = 0, correct to 3 significant figures, using the method of bisection. Let f(x) =

Διαβάστε περισσότερα

Phys460.nb Solution for the t-dependent Schrodinger s equation How did we find the solution? (not required)

Phys460.nb Solution for the t-dependent Schrodinger s equation How did we find the solution? (not required) Phys460.nb 81 ψ n (t) is still the (same) eigenstate of H But for tdependent H. The answer is NO. 5.5.5. Solution for the tdependent Schrodinger s equation If we assume that at time t 0, the electron starts

Διαβάστε περισσότερα

Th, Ra, Rn, Po, Pb, Bi, & Tl K x-rays. Rn Kα1. Rn Kα2. 93( 227 Th)/Rn Kβ3. Ra Kα2. Po Kα2 /Bi K α1 79( 227 Th)/Po Kα1. Ra Kα1 /Bi K β1.

Th, Ra, Rn, Po, Pb, Bi, & Tl K x-rays. Rn Kα1. Rn Kα2. 93( 227 Th)/Rn Kβ3. Ra Kα2. Po Kα2 /Bi K α1 79( 227 Th)/Po Kα1. Ra Kα1 /Bi K β1. Page -1-10 8 10 7 10 6 10 5 10 4 334 ( Th) Counts/Channel 10 3 10 2 10 1 49 ( Th)/ 50 ( Th)/ 50 ( Fr) 0 100 200 300 400 500 600 700 800 900 1000 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 Channel

Διαβάστε περισσότερα

HOMEWORK 4 = G. In order to plot the stress versus the stretch we define a normalized stretch:

HOMEWORK 4 = G. In order to plot the stress versus the stretch we define a normalized stretch: HOMEWORK 4 Problem a For the fast loading case, we want to derive the relationship between P zz and λ z. We know that the nominal stress is expressed as: P zz = ψ λ z where λ z = λ λ z. Therefore, applying

Διαβάστε περισσότερα

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 19/5/2007

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 19/5/2007 Οδηγίες: Να απαντηθούν όλες οι ερωτήσεις. Αν κάπου κάνετε κάποιες υποθέσεις να αναφερθούν στη σχετική ερώτηση. Όλα τα αρχεία που αναφέρονται στα προβλήματα βρίσκονται στον ίδιο φάκελο με το εκτελέσιμο

Διαβάστε περισσότερα

Engineering Tunable Single and Dual Optical. Emission from Ru(II)-Polypyridyl Complexes. Through Excited State Design

Engineering Tunable Single and Dual Optical. Emission from Ru(II)-Polypyridyl Complexes. Through Excited State Design Engineering Tunable Single and Dual Optical Emission from Ru(II)-Polypyridyl Complexes Through Excited State Design Supplementary Information Julia Romanova 1, Yousif Sadik 1, M. R. Ranga Prabhath 1,,

Διαβάστε περισσότερα

Energy Levels of Light Nuclei A = 14

Energy Levels of Light Nuclei A = 14 14 Revised Manuscript 05 November 2012 Energy Levels of Light Nuclei A = 14 F. Ajzenberg-Selove University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396 Abstract: An evaluation of A = 13 15 was

Διαβάστε περισσότερα

Section 8.3 Trigonometric Equations

Section 8.3 Trigonometric Equations 99 Section 8. Trigonometric Equations Objective 1: Solve Equations Involving One Trigonometric Function. In this section and the next, we will exple how to solving equations involving trigonometric functions.

Διαβάστε περισσότερα

ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΤΜΗΜΑ ΟΔΟΝΤΙΑΤΡΙΚΗΣ ΕΡΓΑΣΤΗΡΙΟ ΟΔΟΝΤΙΚΗΣ ΚΑΙ ΑΝΩΤΕΡΑΣ ΠΡΟΣΘΕΤΙΚΗΣ

ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΤΜΗΜΑ ΟΔΟΝΤΙΑΤΡΙΚΗΣ ΕΡΓΑΣΤΗΡΙΟ ΟΔΟΝΤΙΚΗΣ ΚΑΙ ΑΝΩΤΕΡΑΣ ΠΡΟΣΘΕΤΙΚΗΣ ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΤΜΗΜΑ ΟΔΟΝΤΙΑΤΡΙΚΗΣ ΕΡΓΑΣΤΗΡΙΟ ΟΔΟΝΤΙΚΗΣ ΚΑΙ ΑΝΩΤΕΡΑΣ ΠΡΟΣΘΕΤΙΚΗΣ ΣΥΓΚΡΙΤΙΚΗ ΜΕΛΕΤΗ ΤΗΣ ΣΥΓΚΡΑΤΗΤΙΚΗΣ ΙΚΑΝΟΤΗΤΑΣ ΟΡΙΣΜΕΝΩΝ ΠΡΟΚΑΤΑΣΚΕΥΑΣΜΕΝΩΝ ΣΥΝΔΕΣΜΩΝ ΑΚΡΙΒΕΙΑΣ

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΕΚΠΑΙ ΕΥΤΙΚΟ Ι ΡΥΜΑ ΚΡΗΤΗΣ ΤΜΗΜΑ ΦΥΣΙΚΩΝ ΠΟΡΩΝ & ΠΕΡΙΒΑΛΛΟΝΤΟΣ ΤΟΜΕΑΣ ΠΕΡΙΒΑΛΛΟΝΤΙΚΗΣ ΤΕΧΝΟΛΟΓΙΑΣ ΕΡΓΑΣΤΗΡΙΟ ΕΛΕΓΧΟΥ ΠΟΙΟΤΗΤΑΣ Υ ΑΤΙΚΩΝ & Ε ΑΦΙΚΩΝ ΠΟΡΩΝ ΕΠΙΒΑΡΥΝΣΗ ΜΕ ΒΑΡΕΑ ΜΕΤΑΛΛΑ Ε ΑΦΩΝ ΤΗΣ

Διαβάστε περισσότερα

Mean bond enthalpy Standard enthalpy of formation Bond N H N N N N H O O O

Mean bond enthalpy Standard enthalpy of formation Bond N H N N N N H O O O Q1. (a) Explain the meaning of the terms mean bond enthalpy and standard enthalpy of formation. Mean bond enthalpy... Standard enthalpy of formation... (5) (b) Some mean bond enthalpies are given below.

Διαβάστε περισσότερα

Nuclear Physics 5. Name: Date: 8 (1)

Nuclear Physics 5. Name: Date: 8 (1) Name: Date: Nuclear Physics 5. A sample of radioactive carbon-4 decays into a stable isotope of nitrogen. As the carbon-4 decays, the rate at which the amount of nitrogen is produced A. decreases linearly

Διαβάστε περισσότερα

DuPont Suva. DuPont. Thermodynamic Properties of. Refrigerant (R-410A) Technical Information. refrigerants T-410A ENG

DuPont Suva. DuPont. Thermodynamic Properties of. Refrigerant (R-410A) Technical Information. refrigerants T-410A ENG Technical Information T-410A ENG DuPont Suva refrigerants Thermodynamic Properties of DuPont Suva 410A Refrigerant (R-410A) The DuPont Oval Logo, The miracles of science, and Suva, are trademarks or registered

Διαβάστε περισσότερα

Supporting Information

Supporting Information Supporting Information rigin of the Regio- and Stereoselectivity of Allylic Substitution of rganocopper Reagents Naohiko Yoshikai, Song-Lin Zhang, and Eiichi Nakamura* Department of Chemistry, The University

Διαβάστε περισσότερα

Hadronic Tau Decays at BaBar

Hadronic Tau Decays at BaBar Hadronic Tau Decays at BaBar Swagato Banerjee Joint Meeting of Pacific Region Particle Physics Communities (DPF006+JPS006 Honolulu, Hawaii 9 October - 3 November 006 (Page: 1 Hadronic τ decays Only lepton

Διαβάστε περισσότερα

Energy Levels of Light Nuclei A = 19

Energy Levels of Light Nuclei A = 19 9 Revised Manuscript October 08 Energy Levels of Light Nuclei A = 9 D.R. Tilley a,b, H.R. Weller a,c and C.M. Cheves a,c, R.M. Chasteler a,c a Triangle Universities Nuclear Laboratory, Durham, NC 08-008,

Διαβάστε περισσότερα

EE512: Error Control Coding

EE512: Error Control Coding EE512: Error Control Coding Solution for Assignment on Finite Fields February 16, 2007 1. (a) Addition and Multiplication tables for GF (5) and GF (7) are shown in Tables 1 and 2. + 0 1 2 3 4 0 0 1 2 3

Διαβάστε περισσότερα

Το άτομο του Υδρογόνου

Το άτομο του Υδρογόνου Το άτομο του Υδρογόνου Δυναμικό Coulomb Εξίσωση Schrödinger h e (, r, ) (, r, ) E (, r, ) m ψ θφ r ψ θφ = ψ θφ Συνθήκες ψ(, r θφ, ) = πεπερασμένη ψ( r ) = 0 ψ(, r θφ, ) =ψ(, r θφ+, ) π Επιτρεπτές ενέργειες

Διαβάστε περισσότερα

4.6 Autoregressive Moving Average Model ARMA(1,1)

4.6 Autoregressive Moving Average Model ARMA(1,1) 84 CHAPTER 4. STATIONARY TS MODELS 4.6 Autoregressive Moving Average Model ARMA(,) This section is an introduction to a wide class of models ARMA(p,q) which we will consider in more detail later in this

Διαβάστε περισσότερα

CE 530 Molecular Simulation

CE 530 Molecular Simulation C 53 olecular Siulation Lecture Histogra Reweighting ethods David. Kofke Departent of Cheical ngineering SUNY uffalo kofke@eng.buffalo.edu Histogra Reweighting ethod to cobine results taken at different

Διαβάστε περισσότερα

SUPPLEMENTAL INFORMATION. Fully Automated Total Metals and Chromium Speciation Single Platform Introduction System for ICP-MS

SUPPLEMENTAL INFORMATION. Fully Automated Total Metals and Chromium Speciation Single Platform Introduction System for ICP-MS Electronic Supplementary Material (ESI) for Journal of Analytical Atomic Spectrometry. This journal is The Royal Society of Chemistry 2018 SUPPLEMENTAL INFORMATION Fully Automated Total Metals and Chromium

Διαβάστε περισσότερα

1 Decay Scheme. 2 Nuclear Data. 2.1 α Transitions

1 Decay Scheme. 2 Nuclear Data. 2.1 α Transitions 1 Decay Scheme Cf- disintegrates by alpha emissions mainly to the Cm-248 ground state level, and by spontaneous fission for 3,086(8) %. The average number of neutrons emitted by spontaneous fission is:

Διαβάστε περισσότερα

Assalamu `alaikum wr. wb.

Assalamu `alaikum wr. wb. LUMP SUM Assalamu `alaikum wr. wb. LUMP SUM Wassalamu alaikum wr. wb. Assalamu `alaikum wr. wb. LUMP SUM Wassalamu alaikum wr. wb. LUMP SUM Lump sum lump sum lump sum. lump sum fixed price lump sum lump

Διαβάστε περισσότερα

DuPont Suva 95 Refrigerant

DuPont Suva 95 Refrigerant Technical Information T-95 ENG DuPont Suva refrigerants Thermodynamic Properties of DuPont Suva 95 Refrigerant (R-508B) The DuPont Oval Logo, The miracles of science, and Suva, are trademarks or registered

Διαβάστε περισσότερα

Dr. D. Dinev, Department of Structural Mechanics, UACEG

Dr. D. Dinev, Department of Structural Mechanics, UACEG Lecture 4 Material behavior: Constitutive equations Field of the game Print version Lecture on Theory of lasticity and Plasticity of Dr. D. Dinev, Department of Structural Mechanics, UACG 4.1 Contents

Διαβάστε περισσότερα

Homework 3 Solutions

Homework 3 Solutions Homework 3 Solutions Igor Yanovsky (Math 151A TA) Problem 1: Compute the absolute error and relative error in approximations of p by p. (Use calculator!) a) p π, p 22/7; b) p π, p 3.141. Solution: For

Διαβάστε περισσότερα

ΓΗ ΚΑΙ ΣΥΜΠΑΝ. Εικόνα 1. Φωτογραφία του γαλαξία μας (από αρχείο της NASA)

ΓΗ ΚΑΙ ΣΥΜΠΑΝ. Εικόνα 1. Φωτογραφία του γαλαξία μας (από αρχείο της NASA) ΓΗ ΚΑΙ ΣΥΜΠΑΝ Φύση του σύμπαντος Η γη είναι μία μονάδα μέσα στο ηλιακό μας σύστημα, το οποίο αποτελείται από τον ήλιο, τους πλανήτες μαζί με τους δορυφόρους τους, τους κομήτες, τα αστεροειδή και τους μετεωρίτες.

Διαβάστε περισσότερα

Example Sheet 3 Solutions

Example Sheet 3 Solutions Example Sheet 3 Solutions. i Regular Sturm-Liouville. ii Singular Sturm-Liouville mixed boundary conditions. iii Not Sturm-Liouville ODE is not in Sturm-Liouville form. iv Regular Sturm-Liouville note

Διαβάστε περισσότερα

Technical Information T-9100 SI. Suva. refrigerants. Thermodynamic Properties of. Suva Refrigerant [R-410A (50/50)]

Technical Information T-9100 SI. Suva. refrigerants. Thermodynamic Properties of. Suva Refrigerant [R-410A (50/50)] d Suva refrigerants Technical Information T-9100SI Thermodynamic Properties of Suva 9100 Refrigerant [R-410A (50/50)] Thermodynamic Properties of Suva 9100 Refrigerant SI Units New tables of the thermodynamic

Διαβάστε περισσότερα

Math221: HW# 1 solutions

Math221: HW# 1 solutions Math: HW# solutions Andy Royston October, 5 7.5.7, 3 rd Ed. We have a n = b n = a = fxdx = xdx =, x cos nxdx = x sin nx n sin nxdx n = cos nx n = n n, x sin nxdx = x cos nx n + cos nxdx n cos n = + sin

Διαβάστε περισσότερα

Derivation of Optical-Bloch Equations

Derivation of Optical-Bloch Equations Appendix C Derivation of Optical-Bloch Equations In this appendix the optical-bloch equations that give the populations and coherences for an idealized three-level Λ system, Fig. 3. on page 47, will be

Διαβάστε περισσότερα

Heterobimetallic Pd-Sn Catalysis: Michael Addition. Reaction with C-, N-, O-, S- Nucleophiles and In-situ. Diagnostics

Heterobimetallic Pd-Sn Catalysis: Michael Addition. Reaction with C-, N-, O-, S- Nucleophiles and In-situ. Diagnostics Supporting Information (SI) Heterobimetallic Pd-Sn Catalysis: Michael Addition Reaction with C-, N-, -, S- Nucleophiles and In-situ Diagnostics Debjit Das, a Sanjay Pratihar a,b and Sujit Roy c * a rganometallics

Διαβάστε περισσότερα

DuPont Suva 95 Refrigerant

DuPont Suva 95 Refrigerant Technical Information T-95 SI DuPont Suva refrigerants Thermodynamic Properties of DuPont Suva 95 Refrigerant (R-508B) The DuPont Oval Logo, The miracles of science, and Suva, are trademarks or registered

Διαβάστε περισσότερα

Reaction of a Platinum Electrode for the Measurement of Redox Potential of Paddy Soil

Reaction of a Platinum Electrode for the Measurement of Redox Potential of Paddy Soil J. Jpn. Soc. Soil Phys. No. +*0, p.- +*,**1 Eh * ** Reaction of a Platinum Electrode for the Measurement of Redox Potential of Paddy Soil Daisuke MURAKAMI* and Tatsuaki KASUBUCHI** * The United Graduate

Διαβάστε περισσότερα

Three coupled amplitudes for the πη, K K and πη channels without data

Three coupled amplitudes for the πη, K K and πη channels without data Three coupled amplitudes for the πη, K K and πη channels without data Robert Kamiński IFJ PAN, Kraków and Łukasz Bibrzycki Pedagogical University, Kraków HaSpect meeting, Kraków, V/VI 216 Present status

Διαβάστε περισσότερα

; +302 ; +313; +320,.

; +302 ; +313; +320,. 1.,,*+, - +./ +/2 +, -. ; +, - +* cm : Key words: snow-water content, surface soil, snow type, water permeability, water retention +,**. +,,**/.. +30- +302 ; +302 ; +313; +320,. + *+, *2// + -.*, **. **+.,

Διαβάστε περισσότερα

C.S. 430 Assignment 6, Sample Solutions

C.S. 430 Assignment 6, Sample Solutions C.S. 430 Assignment 6, Sample Solutions Paul Liu November 15, 2007 Note that these are sample solutions only; in many cases there were many acceptable answers. 1 Reynolds Problem 10.1 1.1 Normal-order

Διαβάστε περισσότερα

Strain gauge and rosettes

Strain gauge and rosettes Strain gauge and rosettes Introduction A strain gauge is a device which is used to measure strain (deformation) on an object subjected to forces. Strain can be measured using various types of devices classified

Διαβάστε περισσότερα

Second Order RLC Filters

Second Order RLC Filters ECEN 60 Circuits/Electronics Spring 007-0-07 P. Mathys Second Order RLC Filters RLC Lowpass Filter A passive RLC lowpass filter (LPF) circuit is shown in the following schematic. R L C v O (t) Using phasor

Διαβάστε περισσότερα

Quantitative chemical analyses of rocks with X-ray fluorescence analyzer: major and trace elements in ultrabasic rocks

Quantitative chemical analyses of rocks with X-ray fluorescence analyzer: major and trace elements in ultrabasic rocks 98 Scientific Note X : Quantitative chemical analyses of rocks with X-ray fluorescence analyzer: major and trace elements in ultrabasic rocks Kimiko Seno and Yoichi Motoyoshi,**- +, +, ;,**. -,/ Abstract:

Διαβάστε περισσότερα

6.1. Dirac Equation. Hamiltonian. Dirac Eq.

6.1. Dirac Equation. Hamiltonian. Dirac Eq. 6.1. Dirac Equation Ref: M.Kaku, Quantum Field Theory, Oxford Univ Press (1993) η μν = η μν = diag(1, -1, -1, -1) p 0 = p 0 p = p i = -p i p μ p μ = p 0 p 0 + p i p i = E c 2 - p 2 = (m c) 2 H = c p 2

Διαβάστε περισσότερα

Electronic structure and spectroscopy of HBr and HBr +

Electronic structure and spectroscopy of HBr and HBr + Electronic structure and spectroscopy of HBr and HBr + Gabriel J. Vázquez 1 H. P. Liebermann 2 H. Lefebvre Brion 3 1 Universidad Nacional Autónoma de México Cuernavaca México 2 Universität Wuppertal Wuppertal

Διαβάστε περισσότερα

Areas and Lengths in Polar Coordinates

Areas and Lengths in Polar Coordinates Kiryl Tsishchanka Areas and Lengths in Polar Coordinates In this section we develop the formula for the area of a region whose boundary is given by a polar equation. We need to use the formula for the

Διαβάστε περισσότερα

Math 6 SL Probability Distributions Practice Test Mark Scheme

Math 6 SL Probability Distributions Practice Test Mark Scheme Math 6 SL Probability Distributions Practice Test Mark Scheme. (a) Note: Award A for vertical line to right of mean, A for shading to right of their vertical line. AA N (b) evidence of recognizing symmetry

Διαβάστε περισσότερα

Appendix B Table of Radionuclides Γ Container 1 Posting Level cm per (mci) mci

Appendix B Table of Radionuclides Γ Container 1 Posting Level cm per (mci) mci 3 H 12.35 Y β Low 80 1 - - Betas: 19 (100%) 11 C 20.38 M β+, EC Low 400 1 5.97 13.7 13 N 9.97 M β+ Low 1 5.97 13.7 Positrons: 960 (99.7%) Gaas: 511 (199.5%) Positrons: 1,199 (99.8%) Gaas: 511 (199.6%)

Διαβάστε περισσότερα

derivation of the Laplacian from rectangular to spherical coordinates

derivation of the Laplacian from rectangular to spherical coordinates derivation of the Laplacian from rectangular to spherical coordinates swapnizzle 03-03- :5:43 We begin by recognizing the familiar conversion from rectangular to spherical coordinates (note that φ is used

Διαβάστε περισσότερα

Physical DB Design. B-Trees Index files can become quite large for large main files Indices on index files are possible.

Physical DB Design. B-Trees Index files can become quite large for large main files Indices on index files are possible. B-Trees Index files can become quite large for large main files Indices on index files are possible 3 rd -level index 2 nd -level index 1 st -level index Main file 1 The 1 st -level index consists of pairs

Διαβάστε περισσότερα

CRASH COURSE IN PRECALCULUS

CRASH COURSE IN PRECALCULUS CRASH COURSE IN PRECALCULUS Shiah-Sen Wang The graphs are prepared by Chien-Lun Lai Based on : Precalculus: Mathematics for Calculus by J. Stuwart, L. Redin & S. Watson, 6th edition, 01, Brooks/Cole Chapter

Διαβάστε περισσότερα

Jesse Maassen and Mark Lundstrom Purdue University November 25, 2013

Jesse Maassen and Mark Lundstrom Purdue University November 25, 2013 Notes on Average Scattering imes and Hall Factors Jesse Maassen and Mar Lundstrom Purdue University November 5, 13 I. Introduction 1 II. Solution of the BE 1 III. Exercises: Woring out average scattering

Διαβάστε περισσότερα

Resurvey of Possible Seismic Fissures in the Old-Edo River in Tokyo

Resurvey of Possible Seismic Fissures in the Old-Edo River in Tokyo Bull. Earthq. Res. Inst. Univ. Tokyo Vol. 2.,**3 pp.,,3,.* * +, -. +, -. Resurvey of Possible Seismic Fissures in the Old-Edo River in Tokyo Kunihiko Shimazaki *, Tsuyoshi Haraguchi, Takeo Ishibe +, -.

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΨΥΧΟΛΟΓΙΚΕΣ ΕΠΙΠΤΩΣΕΙΣ ΣΕ ΓΥΝΑΙΚΕΣ ΜΕΤΑ ΑΠΟ ΜΑΣΤΕΚΤΟΜΗ ΓΕΩΡΓΙΑ ΤΡΙΣΟΚΚΑ Λευκωσία 2012 ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ

Διαβάστε περισσότερα

[1] P Q. Fig. 3.1

[1] P Q. Fig. 3.1 1 (a) Define resistance....... [1] (b) The smallest conductor within a computer processing chip can be represented as a rectangular block that is one atom high, four atoms wide and twenty atoms long. One

Διαβάστε περισσότερα

Approximation of distance between locations on earth given by latitude and longitude

Approximation of distance between locations on earth given by latitude and longitude Approximation of distance between locations on earth given by latitude and longitude Jan Behrens 2012-12-31 In this paper we shall provide a method to approximate distances between two points on earth

Διαβάστε περισσότερα

k A = [k, k]( )[a 1, a 2 ] = [ka 1,ka 2 ] 4For the division of two intervals of confidence in R +

k A = [k, k]( )[a 1, a 2 ] = [ka 1,ka 2 ] 4For the division of two intervals of confidence in R + Chapter 3. Fuzzy Arithmetic 3- Fuzzy arithmetic: ~Addition(+) and subtraction (-): Let A = [a and B = [b, b in R If x [a and y [b, b than x+y [a +b +b Symbolically,we write A(+)B = [a (+)[b, b = [a +b

Διαβάστε περισσότερα

Ψηφιακή ανάπτυξη. Course Unit #1 : Κατανοώντας τις βασικές σύγχρονες ψηφιακές αρχές Thematic Unit #1 : Τεχνολογίες Web και CMS

Ψηφιακή ανάπτυξη. Course Unit #1 : Κατανοώντας τις βασικές σύγχρονες ψηφιακές αρχές Thematic Unit #1 : Τεχνολογίες Web και CMS Ψηφιακή ανάπτυξη Course Unit #1 : Κατανοώντας τις βασικές σύγχρονες ψηφιακές αρχές Thematic Unit #1 : Τεχνολογίες Web και CMS Learning Objective : SEO και Analytics Fabio Calefato Department of Computer

Διαβάστε περισσότερα

The challenges of non-stable predicates

The challenges of non-stable predicates The challenges of non-stable predicates Consider a non-stable predicate Φ encoding, say, a safety property. We want to determine whether Φ holds for our program. The challenges of non-stable predicates

Διαβάστε περισσότερα

Appendix to On the stability of a compressible axisymmetric rotating flow in a pipe. By Z. Rusak & J. H. Lee

Appendix to On the stability of a compressible axisymmetric rotating flow in a pipe. By Z. Rusak & J. H. Lee Appendi to On the stability of a compressible aisymmetric rotating flow in a pipe By Z. Rusak & J. H. Lee Journal of Fluid Mechanics, vol. 5 4, pp. 5 4 This material has not been copy-edited or typeset

Διαβάστε περισσότερα

Αλληλεπίδραση ακτίνων-χ με την ύλη

Αλληλεπίδραση ακτίνων-χ με την ύλη Άσκηση 8 Αλληλεπίδραση ακτίνων-χ με την ύλη Δ. Φ. Αναγνωστόπουλος Τμήμα Μηχανικών Επιστήμης Υλικών Πανεπιστήμιο Ιωαννίνων Ιωάννινα 2013 Άσκηση 8 ii Αλληλεπίδραση ακτίνων-χ με την ύλη Πίνακας περιεχομένων

Διαβάστε περισσότερα

MSM Men who have Sex with Men HIV -

MSM Men who have Sex with Men HIV - ,**, The Japanese Society for AIDS Research The Journal of AIDS Research HIV,0 + + + + +,,, +, : HIV : +322,*** HIV,0,, :., n,0,,. + 2 2, CD. +3-ml n,, AIDS 3 ARC 3 +* 1. A, MSM Men who have Sex with Men

Διαβάστε περισσότερα

Other Test Constructions: Likelihood Ratio & Bayes Tests

Other Test Constructions: Likelihood Ratio & Bayes Tests Other Test Constructions: Likelihood Ratio & Bayes Tests Side-Note: So far we have seen a few approaches for creating tests such as Neyman-Pearson Lemma ( most powerful tests of H 0 : θ = θ 0 vs H 1 :

Διαβάστε περισσότερα

Calculating the propagation delay of coaxial cable

Calculating the propagation delay of coaxial cable Your source for quality GNSS Networking Solutions and Design Services! Page 1 of 5 Calculating the propagation delay of coaxial cable The delay of a cable or velocity factor is determined by the dielectric

Διαβάστε περισσότερα

Srednicki Chapter 55

Srednicki Chapter 55 Srednicki Chapter 55 QFT Problems & Solutions A. George August 3, 03 Srednicki 55.. Use equations 55.3-55.0 and A i, A j ] = Π i, Π j ] = 0 (at equal times) to verify equations 55.-55.3. This is our third

Διαβάστε περισσότερα

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 6/5/2006

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 6/5/2006 Οδηγίες: Να απαντηθούν όλες οι ερωτήσεις. Ολοι οι αριθμοί που αναφέρονται σε όλα τα ερωτήματα είναι μικρότεροι το 1000 εκτός αν ορίζεται διαφορετικά στη διατύπωση του προβλήματος. Διάρκεια: 3,5 ώρες Καλή

Διαβάστε περισσότερα

Areas and Lengths in Polar Coordinates

Areas and Lengths in Polar Coordinates Kiryl Tsishchanka Areas and Lengths in Polar Coordinates In this section we develop the formula for the area of a region whose boundary is given by a polar equation. We need to use the formula for the

Διαβάστε περισσότερα

An experimental and theoretical study of the gas phase kinetics of atomic chlorine reactions with CH 3 NH 2, (CH 3 ) 2 NH, and (CH 3 ) 3 N

An experimental and theoretical study of the gas phase kinetics of atomic chlorine reactions with CH 3 NH 2, (CH 3 ) 2 NH, and (CH 3 ) 3 N Electronic Supplementary Material (ESI) for Physical Chemistry Chemical Physics. This journal is the Owner Societies 2015 An experimental and theoretical study of the gas phase kinetics of atomic chlorine

Διαβάστε περισσότερα

Inverse trigonometric functions & General Solution of Trigonometric Equations. ------------------ ----------------------------- -----------------

Inverse trigonometric functions & General Solution of Trigonometric Equations. ------------------ ----------------------------- ----------------- Inverse trigonometric functions & General Solution of Trigonometric Equations. 1. Sin ( ) = a) b) c) d) Ans b. Solution : Method 1. Ans a: 17 > 1 a) is rejected. w.k.t Sin ( sin ) = d is rejected. If sin

Διαβάστε περισσότερα

Electronic Supplementary Information:

Electronic Supplementary Information: Electronic Supplementary Information: 2 6 5 7 2 N S 3 9 6 7 5 2 S N 3 9 Scheme S. Atom numbering for thione and thiol tautomers of thioacetamide 3 0.6 0. absorbance 0.2 0.0 0.5 0.0 0.05 0.00 N 2 Ar km/mol

Διαβάστε περισσότερα

Η ΕΠΙΔΡΑΣΗ ΤΗΣ ΑΙΘΑΝΟΛΗΣ,ΤΗΣ ΜΕΘΑΝΟΛΗΣ ΚΑΙ ΤΟΥ ΑΙΘΥΛΟΤΡΙΤΟΤΑΓΗ ΒΟΥΤΥΛΑΙΘΕΡΑ ΣΤΙΣ ΙΔΙΟΤΗΤΕΣ ΤΗΣ ΒΕΝΖΙΝΗΣ

Η ΕΠΙΔΡΑΣΗ ΤΗΣ ΑΙΘΑΝΟΛΗΣ,ΤΗΣ ΜΕΘΑΝΟΛΗΣ ΚΑΙ ΤΟΥ ΑΙΘΥΛΟΤΡΙΤΟΤΑΓΗ ΒΟΥΤΥΛΑΙΘΕΡΑ ΣΤΙΣ ΙΔΙΟΤΗΤΕΣ ΤΗΣ ΒΕΝΖΙΝΗΣ ΤΕΧΝΟΛΟΓΙΚΟ ΕΚΠΑΙΔΕΥΤΙΚΟ ΙΔΡΥΜΑ ΚΑΒΑΛΑΣ ΣΧΟΛΗ ΤΕΧΝΟΛΟΓΙΚΩΝ ΕΦΑΡΜΟΓΩΝ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ Η ΕΠΙΔΡΑΣΗ ΤΗΣ ΑΙΘΑΝΟΛΗΣ,ΤΗΣ ΜΕΘΑΝΟΛΗΣ ΚΑΙ ΤΟΥ ΑΙΘΥΛΟΤΡΙΤΟΤΑΓΗ ΒΟΥΤΥΛΑΙΘΕΡΑ ΣΤΙΣ ΙΔΙΟΤΗΤΕΣ ΤΗΣ ΒΕΝΖΙΝΗΣ ΟΝΟΜΑΤΕΠΩΝΥΜΟ

Διαβάστε περισσότερα

Νόµοςπεριοδικότητας του Moseley:Η χηµική συµπεριφορά (οι ιδιότητες) των στοιχείων είναι περιοδική συνάρτηση του ατοµικού τους αριθµού.

Νόµοςπεριοδικότητας του Moseley:Η χηµική συµπεριφορά (οι ιδιότητες) των στοιχείων είναι περιοδική συνάρτηση του ατοµικού τους αριθµού. Νόµοςπεριοδικότητας του Moseley:Η χηµική συµπεριφορά (οι ιδιότητες) των στοιχείων είναι περιοδική συνάρτηση του ατοµικού τους αριθµού. Περιοδικός πίνακας: α. Είναι µια ταξινόµηση των στοιχείων κατά αύξοντα

Διαβάστε περισσότερα

ST5224: Advanced Statistical Theory II

ST5224: Advanced Statistical Theory II ST5224: Advanced Statistical Theory II 2014/2015: Semester II Tutorial 7 1. Let X be a sample from a population P and consider testing hypotheses H 0 : P = P 0 versus H 1 : P = P 1, where P j is a known

Διαβάστε περισσότερα

Σπανό Ιωάννη Α.Μ. 148

Σπανό Ιωάννη Α.Μ. 148 ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΑΤΡΩΝ ΔΙΑΤΜΗΜΑΤΙΚΟ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΣΤΙΣ ΠΕΡΙΒΑΛΛΟΝΤΙΚΕΣ ΕΠΙΣΤΗΜΕΣ Ηλεκτροχημική εναπόθεση και μελέτη των ιδιοτήτων, λεπτών υμενίων μεταβατικών μετάλλων, για παραγωγή H2 Διπλωματική

Διαβάστε περισσότερα

Υπολογιστική Φυσική Στοιχειωδών Σωματιδίων

Υπολογιστική Φυσική Στοιχειωδών Σωματιδίων Υπολογιστική Φυσική Στοιχειωδών Σωματιδίων Όρια Πιστότητας (Confidence Limits) 2/4/2014 Υπολογ.Φυσική ΣΣ 1 Τα όρια πιστότητας -Confidence Limits (CL) Tα όρια πιστότητας μιας μέτρησης Μπορεί να αναφέρονται

Διαβάστε περισσότερα

Section 7.6 Double and Half Angle Formulas

Section 7.6 Double and Half Angle Formulas 09 Section 7. Double and Half Angle Fmulas To derive the double-angles fmulas, we will use the sum of two angles fmulas that we developed in the last section. We will let α θ and β θ: cos(θ) cos(θ + θ)

Διαβάστε περισσότερα

ΠΕΡΙΕΧΟΜΕΝΑ. Κεφάλαιο 1: Κεφάλαιο 2: Κεφάλαιο 3:

ΠΕΡΙΕΧΟΜΕΝΑ. Κεφάλαιο 1: Κεφάλαιο 2: Κεφάλαιο 3: 4 Πρόλογος Η παρούσα διπλωµατική εργασία µε τίτλο «ιερεύνηση χωρικής κατανοµής µετεωρολογικών µεταβλητών. Εφαρµογή στον ελληνικό χώρο», ανατέθηκε από το ιεπιστηµονικό ιατµηµατικό Πρόγραµµα Μεταπτυχιακών

Διαβάστε περισσότερα

SUPERPOSITION, MEASUREMENT, NORMALIZATION, EXPECTATION VALUES. Reading: QM course packet Ch 5 up to 5.6

SUPERPOSITION, MEASUREMENT, NORMALIZATION, EXPECTATION VALUES. Reading: QM course packet Ch 5 up to 5.6 SUPERPOSITION, MEASUREMENT, NORMALIZATION, EXPECTATION VALUES Readig: QM course packet Ch 5 up to 5. 1 ϕ (x) = E = π m( a) =1,,3,4,5 for xa (x) = πx si L L * = πx L si L.5 ϕ' -.5 z 1 (x) = L si

Διαβάστε περισσότερα

Tridiagonal matrices. Gérard MEURANT. October, 2008

Tridiagonal matrices. Gérard MEURANT. October, 2008 Tridiagonal matrices Gérard MEURANT October, 2008 1 Similarity 2 Cholesy factorizations 3 Eigenvalues 4 Inverse Similarity Let α 1 ω 1 β 1 α 2 ω 2 T =......... β 2 α 1 ω 1 β 1 α and β i ω i, i = 1,...,

Διαβάστε περισσότερα

SMD Transient Voltage Suppressors

SMD Transient Voltage Suppressors SMD Transient Suppressors Feature Full range from 0 to 22 series. form 4 to 60V RMS ; 5.5 to 85Vdc High surge current ability Bidirectional clamping, high energy Fast response time

Διαβάστε περισσότερα

ΠΑΝΔΠΗΣΖΜΗΟ ΠΑΣΡΩΝ ΣΜΖΜΑ ΖΛΔΚΣΡΟΛΟΓΩΝ ΜΖΥΑΝΗΚΩΝ ΚΑΗ ΣΔΥΝΟΛΟΓΗΑ ΤΠΟΛΟΓΗΣΩΝ ΣΟΜΔΑ ΤΣΖΜΑΣΩΝ ΖΛΔΚΣΡΗΚΖ ΔΝΔΡΓΔΗΑ

ΠΑΝΔΠΗΣΖΜΗΟ ΠΑΣΡΩΝ ΣΜΖΜΑ ΖΛΔΚΣΡΟΛΟΓΩΝ ΜΖΥΑΝΗΚΩΝ ΚΑΗ ΣΔΥΝΟΛΟΓΗΑ ΤΠΟΛΟΓΗΣΩΝ ΣΟΜΔΑ ΤΣΖΜΑΣΩΝ ΖΛΔΚΣΡΗΚΖ ΔΝΔΡΓΔΗΑ ΠΑΝΔΠΗΣΖΜΗΟ ΠΑΣΡΩΝ ΣΜΖΜΑ ΖΛΔΚΣΡΟΛΟΓΩΝ ΜΖΥΑΝΗΚΩΝ ΚΑΗ ΣΔΥΝΟΛΟΓΗΑ ΤΠΟΛΟΓΗΣΩΝ ΣΟΜΔΑ ΤΣΖΜΑΣΩΝ ΖΛΔΚΣΡΗΚΖ ΔΝΔΡΓΔΗΑ Γηπισκαηηθή Δξγαζία ηνπ Φνηηεηή ηνπ ηκήκαηνο Ζιεθηξνιόγσλ Μεραληθώλ θαη Σερλνινγίαο Ζιεθηξνληθώλ

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΕΚΠΑΙ ΕΥΤΙΚΟ Ι ΡΥΜΑ ΚΡΗΤΗΣ ΣΧΟΛΗ ΙΟΙΚΗΣΗΣ ΚΑΙ ΟΙΚΟΝΟΜΙΑΣ ΤΜΗΜΑ ΙΟΙΚΗΣΗΣ ΕΠΙΧΕΙΡΗΣΕΩΝ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ

ΤΕΧΝΟΛΟΓΙΚΟ ΕΚΠΑΙ ΕΥΤΙΚΟ Ι ΡΥΜΑ ΚΡΗΤΗΣ ΣΧΟΛΗ ΙΟΙΚΗΣΗΣ ΚΑΙ ΟΙΚΟΝΟΜΙΑΣ ΤΜΗΜΑ ΙΟΙΚΗΣΗΣ ΕΠΙΧΕΙΡΗΣΕΩΝ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΤΕΧΝΟΛΟΓΙΚΟ ΕΚΠΑΙ ΕΥΤΙΚΟ Ι ΡΥΜΑ ΚΡΗΤΗΣ ΣΧΟΛΗ ΙΟΙΚΗΣΗΣ ΚΑΙ ΟΙΚΟΝΟΜΙΑΣ ΤΜΗΜΑ ΙΟΙΚΗΣΗΣ ΕΠΙΧΕΙΡΗΣΕΩΝ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ Το franchising ( δικαιόχρηση ) ως µέθοδος ανάπτυξης των επιχειρήσεων λιανικού εµπορίου

Διαβάστε περισσότερα

UDZ Swirl diffuser. Product facts. Quick-selection. Swirl diffuser UDZ. Product code example:

UDZ Swirl diffuser. Product facts. Quick-selection. Swirl diffuser UDZ. Product code example: UDZ Swirl diffuser Swirl diffuser UDZ, which is intended for installation in a ventilation duct, can be used in premises with a large volume, for example factory premises, storage areas, superstores, halls,

Διαβάστε περισσότερα

Practice Exam 2. Conceptual Questions. 1. State a Basic identity and then verify it. (a) Identity: Solution: One identity is csc(θ) = 1

Practice Exam 2. Conceptual Questions. 1. State a Basic identity and then verify it. (a) Identity: Solution: One identity is csc(θ) = 1 Conceptual Questions. State a Basic identity and then verify it. a) Identity: Solution: One identity is cscθ) = sinθ) Practice Exam b) Verification: Solution: Given the point of intersection x, y) of the

Διαβάστε περισσότερα

AME SAMPLE REPORT James R. Cole, Ph.D. Neuropsychology

AME SAMPLE REPORT James R. Cole, Ph.D. Neuropsychology Setting the Standard since 1977 Quality and Timely Reports Med-Legal Evaluations Newton s Pyramid of Success AME SAMPLE REPORT Locations: Oakland & Sacramento SCHEDULING DEPARTMENT Ph: 510-208-4700 Fax:

Διαβάστε περισσότερα

Matrices and Determinants

Matrices and Determinants Matrices and Determinants SUBJECTIVE PROBLEMS: Q 1. For what value of k do the following system of equations possess a non-trivial (i.e., not all zero) solution over the set of rationals Q? x + ky + 3z

Διαβάστε περισσότερα

Monolithic Crystal Filters (M.C.F.)

Monolithic Crystal Filters (M.C.F.) Monolithic Crystal Filters (M.C.F.) MCF (MONOLITHIC CRYSTAL FILTER) features high quality quartz resonators such as sharp cutoff characteristics, low loss, good inter-modulation and high stability over

Διαβάστε περισσότερα

Si + Al Mg Fe + Mn +Ni Ca rim Ca p.f.u

Si + Al Mg Fe + Mn +Ni Ca rim Ca p.f.u .6.5. y = -.4x +.8 R =.9574 y = - x +.14 R =.9788 y = -.4 x +.7 R =.9896 Si + Al Fe + Mn +Ni y =.55 x.36 R =.9988.149.148.147.146.145..88 core rim.144 4 =.6 ±.6 4 =.6 ±.18.84.88 p.f.u..86.76 y = -3.9 x

Διαβάστε περισσότερα

1 Decay Scheme. 2 Nuclear Data. 2.1 Electron Capture Transitions. 2.2 β Transitions

1 Decay Scheme. 2 Nuclear Data. 2.1 Electron Capture Transitions. 2.2 β Transitions 1 Decay Scheme Le césium se désintègre essentiellement par émission bêta moins vers des niveaux excités du baryum. Cs- desintegrates mainly by beta minus emissions to excited levels in Ba-. 2 Nuclear Data

Διαβάστε περισσότερα

Solutions to the Schrodinger equation atomic orbitals. Ψ 1 s Ψ 2 s Ψ 2 px Ψ 2 py Ψ 2 pz

Solutions to the Schrodinger equation atomic orbitals. Ψ 1 s Ψ 2 s Ψ 2 px Ψ 2 py Ψ 2 pz Solutions to the Schrodinger equation atomic orbitals Ψ 1 s Ψ 2 s Ψ 2 px Ψ 2 py Ψ 2 pz ybridization Valence Bond Approach to bonding sp 3 (Ψ 2 s + Ψ 2 px + Ψ 2 py + Ψ 2 pz) sp 2 (Ψ 2 s + Ψ 2 px + Ψ 2 py)

Διαβάστε περισσότερα

12 2006 Journal of the Institute of Science and Engineering. Chuo University

12 2006 Journal of the Institute of Science and Engineering. Chuo University 12 2006 Journal of the Institute of Science and Engineering. Chuo University abstract In order to study the mitigation effect on urban heated environment of urban park, the microclimate observations have

Διαβάστε περισσότερα

ΠΕΡΙΟΔΙΚΟΣ ΠΙΝΑΚΑΣ ΣΤΟΙΧΕΙΩΝ

ΠΕΡΙΟΔΙΚΟΣ ΠΙΝΑΚΑΣ ΣΤΟΙΧΕΙΩΝ ΠΕΡΙΟΔΙΚΟΣ ΠΙΝΑΚΑΣ ΣΤΟΙΧΕΙΩΝ Περίοδοι περιοδικού πίνακα Ο περιοδικός πίνακας αποτελείται από 7 περιόδους. Ο αριθμός των στοιχείων που περιλαμβάνει κάθε περίοδος δεν είναι σταθερός, δηλ. η περιοδικότητα

Διαβάστε περισσότερα

ΠΟΛΥΤΕΧΝΕΙΟ ΚΡΗΤΗΣ ΣΧΟΛΗ ΜΗΧΑΝΙΚΩΝ ΠΕΡΙΒΑΛΛΟΝΤΟΣ

ΠΟΛΥΤΕΧΝΕΙΟ ΚΡΗΤΗΣ ΣΧΟΛΗ ΜΗΧΑΝΙΚΩΝ ΠΕΡΙΒΑΛΛΟΝΤΟΣ ΠΟΛΥΤΕΧΝΕΙΟ ΚΡΗΤΗΣ ΣΧΟΛΗ ΜΗΧΑΝΙΚΩΝ ΠΕΡΙΒΑΛΛΟΝΤΟΣ Τομέας Περιβαλλοντικής Υδραυλικής και Γεωπεριβαλλοντικής Μηχανικής (III) Εργαστήριο Γεωπεριβαλλοντικής Μηχανικής TECHNICAL UNIVERSITY OF CRETE SCHOOL of

Διαβάστε περισσότερα

Statistical Inference I Locally most powerful tests

Statistical Inference I Locally most powerful tests Statistical Inference I Locally most powerful tests Shirsendu Mukherjee Department of Statistics, Asutosh College, Kolkata, India. shirsendu st@yahoo.co.in So far we have treated the testing of one-sided

Διαβάστε περισσότερα

ANSWERSHEET (TOPIC = DIFFERENTIAL CALCULUS) COLLECTION #2. h 0 h h 0 h h 0 ( ) g k = g 0 + g 1 + g g 2009 =?

ANSWERSHEET (TOPIC = DIFFERENTIAL CALCULUS) COLLECTION #2. h 0 h h 0 h h 0 ( ) g k = g 0 + g 1 + g g 2009 =? Teko Classes IITJEE/AIEEE Maths by SUHAAG SIR, Bhopal, Ph (0755) 3 00 000 www.tekoclasses.com ANSWERSHEET (TOPIC DIFFERENTIAL CALCULUS) COLLECTION # Question Type A.Single Correct Type Q. (A) Sol least

Διαβάστε περισσότερα