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All results from a given calculation for C5H9NO2 (Proline)

using model chemistry: HSEh1PBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at HSEh1PBE/3-21G
 hartrees
Energy at 0K-398.534645
Energy at 298.15K-398.547166
HF Energy-398.534645
Nuclear repulsion energy398.712264
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 HSEh1PBE/3-21G
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 3543 3413 27.51      
2 A 3495 3366 4.55      
3 A 3187 3070 12.74      
4 A 3164 3048 7.55      
5 A 3137 3022 24.79      
6 A 3128 3013 25.60      
7 A 3113 2999 12.97      
8 A 3088 2975 10.84      
9 A 2989 2879 61.20      
10 A 1806 1739 156.68      
11 A 1570 1513 2.13      
12 A 1555 1498 15.06      
13 A 1534 1478 2.62      
14 A 1480 1426 17.18      
15 A 1388 1337 18.69      
16 A 1383 1332 10.27      
17 A 1369 1319 4.01      
18 A 1355 1305 4.73      
19 A 1345 1296 11.42      
20 A 1292 1244 1.02      
21 A 1257 1211 4.73      
22 A 1235 1190 8.70      
23 A 1214 1170 2.78      
24 A 1152 1110 10.83      
25 A 1124 1083 83.70      
26 A 1114 1073 148.25      
27 A 1091 1051 24.81      
28 A 1019 981 15.99      
29 A 968 933 4.83      
30 A 937 902 0.37      
31 A 915 882 4.27      
32 A 879 847 45.68      
33 A 857 826 24.34      
34 A 779 750 8.17      
35 A 738 711 50.99      
36 A 680 655 114.40      
37 A 627 604 74.34      
38 A 584 563 36.80      
39 A 508 490 29.83      
40 A 507 488 36.96      
41 A 362 348 4.11      
42 A 271 262 3.04      
43 A 183 176 0.66      
44 A 69 67 0.63      
45 A 52 50 0.85      

Unscaled Zero Point Vibrational Energy (zpe) 32020.5 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 30845.3 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 HSEh1PBE/3-21G
ABC
0.11383 0.06019 0.04845

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.058 0.151 0.830
C2 0.894 1.260 0.338
C3 1.984 0.508 -0.483
C4 1.467 -0.942 -0.577
N5 0.707 -1.088 0.680
C6 -1.338 0.184 0.007
O7 -1.880 1.185 -0.433
O8 -1.820 -1.084 -0.165
H9 -0.353 0.304 1.878
H10 1.338 1.779 1.192
H11 0.338 1.988 -0.259
H12 2.937 0.528 0.052
H13 2.130 0.949 -1.473
H14 2.277 -1.676 -0.633
H15 0.835 -1.050 -1.479
H16 0.124 -1.924 0.722
H17 -2.666 -1.069 -0.677

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.54252.45372.34481.46341.52202.44662.37031.09992.17482.17203.11763.27533.30572.75112.08593.2495
C21.54251.55802.45252.38022.50012.88063.62142.20041.09281.09312.18922.21483.38772.93953.29914.3738
C32.45371.55801.54242.35173.37353.92324.13593.32862.19942.22431.09361.09332.20892.17673.29124.9140
C42.34482.45251.54241.47603.07843.96833.31583.30053.24773.15572.17222.19471.09441.10632.11144.1363
N51.46342.38022.35171.47602.50053.61912.66452.12082.97953.23682.82483.28752.12932.16271.02093.6358
C61.52202.50013.37353.07842.50051.22051.36732.11793.33252.47674.28943.84744.11532.90742.66341.9496
O72.44662.88063.92323.96833.61911.22052.28532.90713.65352.36574.88634.14955.05013.66883.87542.3991
O82.37033.62144.13593.31582.66451.36732.28532.87274.47283.75535.02774.63094.16572.96282.29590.9891
H91.09992.20043.32863.30052.12082.11792.90712.87272.34622.80713.76994.22064.14053.80982.55563.7099
H102.17481.09282.19943.24772.97953.33253.65354.47282.34621.77392.32872.90154.01853.92233.92555.2564
H112.17201.09312.22433.15573.23682.47672.36573.75532.80711.77392.99722.40104.16183.31094.03924.3062
H123.11762.18921.09362.17222.82484.28944.88635.02773.76992.32872.99721.77632.40083.04163.79235.8720
H133.27532.21481.09332.19473.28753.84744.14954.63094.22062.90152.40101.77632.75962.38114.13525.2637
H143.30573.38772.20891.09442.12934.11535.05014.16574.14054.01854.16182.40082.75961.78462.55624.9802
H152.75112.93952.17671.10632.16272.90743.66882.96283.80983.92233.31093.04162.38111.78462.47303.5922
H162.08593.29913.29122.11141.02092.66343.87542.29592.55563.92554.03923.79234.13522.55622.47303.2360
H173.24954.37384.91404.13633.63581.94962.39910.98913.70995.25644.30625.87205.26374.98023.59223.2360

picture of Proline state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 104.629 C1 C2 H10 110.056
C1 C2 H11 109.814 C1 N5 C4 105.827
C1 N5 H16 112.994 C1 C6 O7 125.924
C1 C6 O8 110.129 C2 C1 N5 104.681
C2 C1 C6 109.331 C2 C1 H9 111.658
C2 C3 C4 104.564 C2 C3 H12 110.066
C2 C3 H13 112.113 C3 C2 H10 110.914
C3 C2 H11 112.893 C3 C4 N5 102.340
C3 C4 H14 112.698 C3 C4 H15 109.430
C4 C3 H12 109.810 C4 C3 H13 111.614
C4 N5 H16 114.238 N5 C1 C6 113.754
N5 C1 H9 110.858 N5 C4 H14 110.997
N5 C4 H15 112.984 C6 C1 H9 106.649
C6 O8 H17 110.641 O7 C6 O8 123.943
H10 C2 H11 108.487 H12 C3 H13 108.626
H14 C4 H15 108.373
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.223      
2 C -0.414      
3 C -0.427      
4 C -0.284      
5 N -0.562      
6 C 0.667      
7 O -0.489      
8 O -0.577      
9 H 0.268      
10 H 0.233      
11 H 0.247      
12 H 0.235      
13 H 0.219      
14 H 0.227      
15 H 0.196      
16 H 0.302      
17 H 0.381      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.452 -1.192 -0.553 1.390
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.051 5.839 -1.261
y 5.839 -49.402 3.390
z -1.261 3.390 -46.783
Traceless
 xyz
x 3.042 5.839 -1.261
y 5.839 -3.486 3.390
z -1.261 3.390 0.444
Polar
3z2-r20.888
x2-y24.351
xy5.839
xz-1.261
yz3.390


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.858 0.101 0.179
y 0.101 8.629 0.174
z 0.179 0.174 7.143


<r2> (average value of r2) Å2
<r2> 250.976
(<r2>)1/2 15.842