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All results from a given calculation for C5H9NO2 (Proline)

using model chemistry: mPW1PW91/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/TZVP
 hartrees
Energy at 0K-401.203295
Energy at 298.15K-401.215767
HF Energy-401.203295
Nuclear repulsion energy398.566123
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 mPW1PW91/TZVP
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 3805 3630 73.63      
2 A 3601 3435 8.82      
3 A 3161 3016 17.04      
4 A 3135 2991 12.49      
5 A 3114 2970 20.83      
6 A 3108 2965 46.95      
7 A 3089 2947 18.32      
8 A 3052 2911 19.48      
9 A 2962 2826 75.45      
10 A 1844 1759 278.55      
11 A 1534 1463 0.52      
12 A 1516 1447 7.72      
13 A 1496 1427 1.32      
14 A 1465 1397 24.28      
15 A 1381 1318 14.55      
16 A 1375 1311 16.93      
17 A 1342 1280 5.28      
18 A 1335 1274 20.81      
19 A 1327 1266 3.01      
20 A 1269 1211 3.90      
21 A 1253 1196 2.39      
22 A 1228 1171 13.80      
23 A 1213 1157 4.38      
24 A 1175 1121 181.57      
25 A 1162 1108 85.50      
26 A 1116 1065 1.98      
27 A 1090 1040 7.94      
28 A 1011 964 5.37      
29 A 975 930 8.41      
30 A 943 899 3.38      
31 A 929 886 2.70      
32 A 891 850 47.03      
33 A 850 811 36.89      
34 A 792 755 1.99      
35 A 749 715 45.29      
36 A 673 642 91.56      
37 A 628 599 66.20      
38 A 595 567 18.16      
39 A 510 487 30.91      
40 A 499 476 17.17      
41 A 350 334 2.63      
42 A 260 248 2.72      
43 A 184 175 0.23      
44 A 54 51 0.35      
45 A 38 37 2.17      

Unscaled Zero Point Vibrational Energy (zpe) 32037.5 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 30563.8 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 mPW1PW91/TZVP
ABC
0.12181 0.05697 0.04579

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/TZVP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.051 0.142 0.791
C2 0.908 1.249 0.324
C3 2.006 0.506 -0.468
C4 1.498 -0.932 -0.560
N5 0.731 -1.072 0.670
C6 -1.359 0.170 -0.001
O7 -1.906 1.159 -0.406
O8 -1.874 -1.063 -0.165
H9 -0.357 0.293 1.832
H10 1.329 1.767 1.184
H11 0.375 1.983 -0.277
H12 2.948 0.532 0.078
H13 2.176 0.943 -1.451
H14 2.305 -1.665 -0.595
H15 0.885 -1.060 -1.466
H16 0.161 -1.906 0.695
H17 -2.712 -0.964 -0.633

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.53722.43852.31911.44941.53002.43062.38491.09502.16702.17033.10733.26003.27682.72282.06123.2142
C21.53721.54362.42592.35382.53212.90843.64972.18821.08841.08802.17642.20233.35982.92143.26324.3490
C32.43851.54361.52782.32633.41383.96604.19553.30352.18512.20841.08971.08942.19582.16933.25154.9437
C42.31912.42591.52781.45613.11323.99803.39753.26483.21733.13692.15702.18421.09051.10152.07614.2106
N51.44942.35382.32631.45612.52223.61762.73462.09672.94673.21852.80043.26342.10452.14071.00973.6819
C61.53002.53213.41383.11322.52221.20041.34542.09283.34352.52424.32363.89864.14072.94852.66541.8743
O72.43062.90843.96603.99803.61761.20042.23502.85603.65482.42844.91844.21905.07353.71973.85702.2821
O82.38493.64974.19553.39752.73461.34542.23502.85014.48083.78755.08464.69874.24343.04982.36420.9650
H91.09502.18823.30353.26482.09672.09282.85602.85012.33072.79963.74904.19684.09963.77402.52873.6330
H102.16701.08842.18513.21732.94673.34353.65484.48082.33071.75772.31742.88753.98703.89973.88455.2038
H112.17031.08802.20843.13693.21852.52422.42843.78752.79961.75772.97562.38834.13973.30694.01414.2823
H123.10732.17641.08972.15702.80044.32364.91845.08463.74902.31742.97561.76192.38673.02923.75395.8972
H133.26002.20231.08942.18423.26343.89864.21904.69874.19682.88752.38831.76192.74862.38374.09665.3099
H143.27683.35982.19581.09052.10454.14075.07354.24344.09963.98704.13972.38672.74861.77182.51335.0651
H152.72282.92142.16931.10152.14072.94853.71973.04983.77403.89973.30693.02922.38371.77182.43013.6927
H162.06123.26323.25152.07611.00972.66543.85702.36422.52873.88454.01413.75394.09662.51332.43013.3017
H173.21424.34904.94374.21063.68191.87432.28210.96503.63305.20384.28235.89725.30995.06513.69273.3017

picture of Proline state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 104.655 C1 C2 H10 110.069
C1 C2 H11 110.356 C1 N5 C4 105.909
C1 N5 H16 112.674 C1 C6 O7 125.365
C1 C6 O8 111.919 C2 C1 N5 103.981
C2 C1 C6 111.291 C2 C1 H9 111.361
C2 C3 C4 104.341 C2 C3 H12 110.295
C2 C3 H13 112.383 C3 C2 H10 111.064
C3 C2 H11 112.970 C3 C4 N5 102.423
C3 C4 H14 112.922 C3 C4 H15 110.125
C4 C3 H12 109.856 C4 C3 H13 112.049
C4 N5 H16 113.456 N5 C1 C6 115.646
N5 C1 H9 110.209 N5 C4 H14 110.639
N5 C4 H15 112.917 C6 C1 H9 104.519
C6 O8 H17 107.288 O7 C6 O8 122.681
H10 C2 H11 107.726 H12 C3 H13 107.905
H14 C4 H15 107.853
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.019      
2 C -0.320      
3 C -0.210      
4 C -0.195      
5 N -0.301      
6 C 0.122      
7 O -0.300      
8 O -0.287      
9 H 0.177      
10 H 0.135      
11 H 0.167      
12 H 0.123      
13 H 0.120      
14 H 0.131      
15 H 0.102      
16 H 0.224      
17 H 0.295      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.171 -1.344 -0.422 1.419
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.169 6.076 -1.267
y 6.076 -49.799 2.828
z -1.267 2.828 -47.607
Traceless
 xyz
x 2.534 6.076 -1.267
y 6.076 -2.911 2.828
z -1.267 2.828 0.377
Polar
3z2-r20.753
x2-y23.630
xy6.076
xz-1.267
yz2.828


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.886 -0.035 0.089
y -0.035 10.311 0.136
z 0.089 0.136 8.682


<r2> (average value of r2) Å2
<r2> 258.618
(<r2>)1/2 16.082