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All results from a given calculation for C5H9NO2 (Proline)

using model chemistry: B3LYP/CEP-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3LYP/CEP-31G
 hartrees
Energy at 0K-75.401684
Energy at 298.15K-75.413748
HF Energy-75.401684
Nuclear repulsion energy212.230961
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3LYP/CEP-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3659 3543 33.70      
2 A 3571 3459 3.42      
3 A 3155 3055 64.08      
4 A 3123 3024 29.63      
5 A 3099 3001 41.33      
6 A 3091 2994 64.07      
7 A 3069 2972 38.60      
8 A 3047 2951 28.88      
9 A 2947 2854 122.61      
10 A 1673 1620 195.18      
11 A 1536 1488 1.10      
12 A 1520 1472 10.68      
13 A 1502 1454 1.95      
14 A 1450 1404 16.29      
15 A 1368 1325 10.44      
16 A 1344 1301 6.23      
17 A 1339 1297 0.20      
18 A 1324 1282 6.18      
19 A 1294 1253 27.76      
20 A 1251 1212 0.90      
21 A 1241 1201 4.31      
22 A 1212 1174 13.55      
23 A 1193 1156 2.06      
24 A 1150 1114 18.29      
25 A 1108 1073 9.99      
26 A 1093 1058 52.14      
27 A 1072 1038 200.96      
28 A 984 953 10.76      
29 A 953 922 19.10      
30 A 924 895 2.33      
31 A 904 875 7.26      
32 A 846 820 29.90      
33 A 808 782 36.33      
34 A 753 730 2.50      
35 A 692 670 51.99      
36 A 644 623 88.15      
37 A 604 585 135.42      
38 A 560 542 62.39      
39 A 490 475 23.33      
40 A 459 445 34.00      
41 A 327 317 4.42      
42 A 244 236 2.64      
43 A 159 154 0.89      
44 A 31 30 1.79      
45 A 29 28 0.32      

Unscaled Zero Point Vibrational Energy (zpe) 31421.0 cm-1
Scaled (by 0.9684) Zero Point Vibrational Energy (zpe) 30428.0 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3LYP/CEP-31G
ABC
0.11497 0.05421 0.04369

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.053 0.150 0.804
C2 0.937 1.273 0.334
C3 2.062 0.514 -0.467
C4 1.551 -0.956 -0.570
N5 0.731 -1.101 0.665
C6 -1.389 0.183 -0.004
O7 -1.956 1.204 -0.425
O8 -1.935 -1.087 -0.159
H9 -0.359 0.298 1.855
H10 1.362 1.786 1.208
H11 0.415 2.027 -0.269
H12 3.007 0.539 0.097
H13 2.250 0.959 -1.456
H14 2.368 -1.692 -0.591
H15 0.953 -1.091 -1.500
H16 0.168 -1.955 0.709
H17 -2.803 -1.079 -0.626

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.56952.49442.38381.48261.56172.49872.44911.10432.20062.21263.16473.32663.34712.80322.11863.3344
C21.56951.57552.48202.40612.59112.99213.74992.22381.09911.09802.20872.24133.42002.99143.33974.5215
C32.49441.57551.55982.38013.49824.07764.31703.36142.21672.24581.10061.10082.23102.20763.32695.1220
C42.38382.48201.55981.48993.20354.12143.51243.33123.27343.20642.19112.22321.10051.11402.13234.3558
N51.48262.40612.38011.48992.56723.70422.78992.13503.00503.28042.86293.32492.14732.17671.02353.7620
C61.56172.59113.49823.20352.56721.24141.39122.12793.40682.59344.41193.99444.24063.05722.73971.9950
O72.49872.99214.07764.12143.70421.24142.30662.92733.74362.51475.03484.33765.20763.85793.97232.4437
O82.44913.74994.31703.51242.78991.39122.30662.90774.58173.90295.20904.83574.36713.18392.43500.9858
H91.10432.22383.36143.33122.13502.12792.92732.90772.36552.84633.80494.26664.16903.86022.58173.7448
H102.20061.09912.21673.27343.00503.40683.74364.58172.36551.77122.34432.92714.04353.97193.95885.3778
H112.21261.09802.24583.20643.28042.59342.51473.90292.84631.77123.01152.43234.21383.39494.10834.4869
H123.16472.20871.10062.19112.86294.41195.03485.20903.80492.34433.01151.77822.42103.07043.82836.0744
H133.32662.24131.10082.22323.32493.99444.33764.83574.26662.92712.43231.77822.79172.42644.18535.5115
H143.34713.42002.23101.10052.14734.24065.20764.36714.16904.04354.21382.42102.79171.78662.56945.2076
H152.80322.99142.20761.11402.17673.05723.85793.18393.86023.97193.39493.07042.42641.78662.49873.8559
H162.11863.33973.32692.13231.02352.73973.97232.43502.58173.95884.10833.82834.18532.56942.49873.3729
H173.33444.52155.12204.35583.76201.99502.44370.98583.74485.37784.48696.07445.51155.20763.85593.3729

picture of Proline state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 104.958 C1 C2 H10 109.845
C1 C2 H11 110.852 C1 N5 C4 106.632
C1 N5 H16 114.182 C1 C6 O7 125.724
C1 C6 O8 111.947 C2 C1 N5 104.027
C2 C1 C6 111.688 C2 C1 H9 111.357
C2 C3 C4 104.675 C2 C3 H12 109.976
C2 C3 H13 112.535 C3 C2 H10 110.683
C3 C2 H11 113.069 C3 C4 N5 102.574
C3 C4 H14 112.848 C3 C4 H15 110.189
C4 C3 H12 109.680 C4 C3 H13 112.201
C4 N5 H16 114.802 N5 C1 C6 114.952
N5 C1 H9 110.389 N5 C4 H14 111.094
N5 C4 H15 112.628 C6 C1 H9 104.601
C6 O8 H17 113.026 O7 C6 O8 122.267
H10 C2 H11 107.443 H12 C3 H13 107.755
H14 C4 H15 107.565
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.038      
2 C -0.322      
3 C -0.219      
4 C -0.300      
5 N -0.284      
6 C -0.240      
7 O -0.085      
8 O -0.338      
9 H 0.227      
10 H 0.150      
11 H 0.205      
12 H 0.136      
13 H 0.153      
14 H 0.187      
15 H 0.117      
16 H 0.274      
17 H 0.376      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.263 -1.251 -0.372 1.331
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.463 6.410 -1.586
y 6.410 -50.805 3.829
z -1.586 3.829 -47.656
Traceless
 xyz
x 3.768 6.410 -1.586
y 6.410 -4.246 3.829
z -1.586 3.829 0.478
Polar
3z2-r20.956
x2-y25.343
xy6.410
xz-1.586
yz3.829


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.068 0.093 0.030
y 0.093 9.727 0.063
z 0.030 0.063 7.719


<r2> (average value of r2) Å2
<r2> 217.722
(<r2>)1/2 14.755