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All results from a given calculation for C5H9NO2 (Proline)

using model chemistry: mPW1PW91/aug-cc-pVDZ

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/aug-cc-pVDZ
 hartrees
Energy at 0K-401.123688
Energy at 298.15K-401.136145
HF Energy-401.123688
Nuclear repulsion energy397.597112
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/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3798 3640 74.38      
2 A 3592 3443 7.83      
3 A 3169 3037 18.23      
4 A 3143 3012 13.11      
5 A 3118 2988 27.34      
6 A 3114 2984 42.35      
7 A 3093 2964 20.72      
8 A 3056 2929 20.35      
9 A 2969 2846 77.18      
10 A 1831 1755 273.70      
11 A 1517 1454 0.51      
12 A 1500 1438 6.72      
13 A 1480 1419 1.01      
14 A 1452 1392 25.93      
15 A 1374 1317 29.21      
16 A 1362 1306 4.21      
17 A 1329 1273 12.24      
18 A 1322 1266 9.81      
19 A 1310 1255 1.42      
20 A 1259 1206 6.69      
21 A 1246 1194 2.43      
22 A 1220 1169 17.00      
23 A 1202 1152 10.10      
24 A 1177 1128 215.78      
25 A 1162 1113 30.81      
26 A 1108 1062 1.14      
27 A 1090 1045 5.61      
28 A 1009 967 4.04      
29 A 978 938 9.14      
30 A 944 905 3.18      
31 A 928 889 1.48      
32 A 891 853 45.47      
33 A 845 810 28.88      
34 A 791 758 1.66      
35 A 749 718 37.29      
36 A 671 643 86.31      
37 A 627 601 55.76      
38 A 591 567 17.45      
39 A 506 485 28.81      
40 A 499 478 16.26      
41 A 349 334 2.29      
42 A 257 247 3.02      
43 A 183 175 0.18      
44 A 56 54 0.29      
45 A 34 32 2.33      

Unscaled Zero Point Vibrational Energy (zpe) 31950.6 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 30618.3 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 mPW1PW91/aug-cc-pVDZ
ABC
0.12117 0.05673 0.04561

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.052 0.141 0.791
C2 0.911 1.250 0.328
C3 2.011 0.508 -0.466
C4 1.504 -0.933 -0.563
N5 0.732 -1.076 0.667
C6 -1.362 0.170 -0.002
O7 -1.909 1.164 -0.410
O8 -1.881 -1.065 -0.162
H9 -0.361 0.287 1.837
H10 1.332 1.767 1.196
H11 0.375 1.990 -0.273
H12 2.959 0.533 0.082
H13 2.181 0.951 -1.454
H14 2.314 -1.672 -0.597
H15 0.889 -1.061 -1.474
H16 0.160 -1.912 0.687
H17 -2.722 -0.959 -0.627

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.54002.44372.32501.45251.53182.43652.38931.10062.17342.17583.11793.26833.28722.73112.06593.2167
C21.54001.54662.43132.35742.53822.91593.66012.19631.09441.09382.18382.20893.37032.93083.26934.3574
C32.44371.54661.53092.33043.42133.97434.20923.31412.19322.21551.09571.09552.20452.17653.25754.9573
C42.32502.43131.53091.45893.12114.00803.41143.27493.22703.14652.16402.19131.09651.10692.07944.2261
N51.45252.35742.33041.45892.52623.62592.74142.10262.95363.22652.80933.27202.11042.14661.01273.6896
C61.53182.53823.42133.12112.52621.20571.34862.09723.35332.53064.33693.90754.15352.95712.66851.8740
O72.43652.91593.97434.00803.62591.20572.24242.86583.66662.43234.93284.22605.08923.72913.86512.2831
O82.38933.66014.20923.41142.74141.34862.24242.85184.49323.79925.10324.71534.26103.06512.36730.9661
H91.10062.19633.31413.27492.10262.09722.86582.85182.33882.81033.76374.21154.11263.78702.53533.6322
H102.17341.09442.19323.22702.95363.35333.66664.49322.33881.76762.32612.90024.00033.91463.89445.2139
H112.17581.09382.21553.14653.22652.53062.43233.79922.81031.76762.98742.39474.15543.31854.02354.2905
H123.11792.18381.09572.16402.80934.33694.93285.10323.76372.32612.98741.77202.39543.04123.76525.9159
H133.26832.20891.09552.19133.27203.90754.22604.71534.21152.90022.39471.77202.76202.39114.10605.3259
H143.28723.37032.20451.09652.11044.15355.08924.26104.11264.00034.15542.39542.76201.78122.51855.0856
H152.73112.93082.17651.10692.14662.95713.72913.06513.78703.91463.31853.04122.39111.78122.43353.7098
H162.06593.26933.25752.07941.01272.66853.86512.36732.53533.89444.02353.76524.10602.51852.43353.3070
H173.21674.35744.95734.22613.68961.87402.28310.96613.63225.21394.29055.91595.32595.08563.70983.3070

picture of Proline state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 104.691 C1 C2 H10 110.031
C1 C2 H11 110.250 C1 N5 C4 105.990
C1 N5 H16 112.645 C1 C6 O7 125.337
C1 C6 O8 111.941 C2 C1 N5 103.913
C2 C1 C6 111.441 C2 C1 H9 111.470
C2 C3 C4 104.373 C2 C3 H12 110.312
C2 C3 H13 112.329 C3 C2 H10 111.137
C3 C2 H11 112.961 C3 C4 N5 102.396
C3 C4 H14 113.038 C3 C4 H15 110.162
C4 C3 H12 109.845 C4 C3 H13 112.026
C4 N5 H16 113.328 N5 C1 C6 115.639
N5 C1 H9 110.116 N5 C4 H14 110.557
N5 C4 H15 112.854 C6 C1 H9 104.439
C6 O8 H17 106.951 O7 C6 O8 122.681
H10 C2 H11 107.765 H12 C3 H13 107.944
H14 C4 H15 107.873
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.261      
2 C 0.679      
3 C 0.624      
4 C 0.928      
5 N -0.375      
6 C 0.961      
7 O -0.604      
8 O -0.573      
9 H -0.282      
10 H -0.217      
11 H -0.351      
12 H -0.285      
13 H -0.230      
14 H -0.331      
15 H -0.345      
16 H -0.049      
17 H 0.190      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.257 -1.339 -0.350 1.407
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.615 5.993 -1.342
y 5.993 -50.009 2.815
z -1.342 2.815 -47.880
Traceless
 xyz
x 2.329 5.993 -1.342
y 5.993 -2.762 2.815
z -1.342 2.815 0.433
Polar
3z2-r20.865
x2-y23.394
xy5.993
xz-1.342
yz2.815


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.842 -0.017 0.106
y -0.017 11.085 0.094
z 0.106 0.094 9.509


<r2> (average value of r2) Å2
<r2> 259.813
(<r2>)1/2 16.119