return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C5H12 (Butane, 2-methyl-)

using model chemistry: PBEPBE/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-197.539747
Energy at 298.15K-197.552431
Nuclear repulsion energy191.768303
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 PBEPBE/cc-pVTZ
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 3038 3017 29.51      
2 A 3033 3012 59.48      
3 A 3029 3008 17.43      
4 A 3026 3005 53.06      
5 A 3022 3001 45.15      
6 A 3017 2996 8.16      
7 A 2972 2952 21.74      
8 A 2962 2942 26.09      
9 A 2958 2937 33.58      
10 A 2953 2933 32.60      
11 A 2938 2918 30.45      
12 A 2919 2899 7.19      
13 A 1460 1450 6.32      
14 A 1455 1445 8.28      
15 A 1452 1442 4.13      
16 A 1447 1437 12.77      
17 A 1443 1433 2.04      
18 A 1435 1425 0.17      
19 A 1428 1418 0.09      
20 A 1366 1356 5.15      
21 A 1357 1347 5.52      
22 A 1346 1336 6.97      
23 A 1328 1319 0.38      
24 A 1319 1310 1.50      
25 A 1277 1268 1.78      
26 A 1251 1243 1.36      
27 A 1163 1155 0.52      
28 A 1158 1150 0.99      
29 A 1135 1127 2.58      
30 A 1028 1021 0.37      
31 A 996 989 2.92      
32 A 952 945 4.11      
33 A 936 930 0.23      
34 A 898 892 0.61      
35 A 894 888 1.12      
36 A 776 771 0.28      
37 A 745 740 2.66      
38 A 442 439 0.23      
39 A 399 396 0.19      
40 A 353 350 0.00      
41 A 255 253 0.01      
42 A 243 241 0.00      
43 A 217 216 0.02      
44 A 204 203 0.03      
45 A 94 93 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 34056.6 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 33821.6 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 PBEPBE/cc-pVTZ
ABC
0.24256 0.11119 0.08506

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
H1 -2.944 -0.586 0.316
H2 -2.220 -0.042 -1.210
H3 -2.185 1.010 0.219
C4 -2.098 -0.033 -0.116
H5 -0.768 -1.726 0.018
H6 -0.662 -0.632 1.394
C7 -0.763 -0.659 0.294
H8 0.341 -0.004 -1.426
C9 0.481 -0.003 -0.329
H10 -0.196 2.081 -0.150
H11 1.557 1.897 -0.336
H12 0.785 1.505 1.215
C13 0.662 1.451 0.121
H14 2.629 -0.387 -0.485
H15 1.639 -1.860 -0.366
H16 1.917 -0.855 1.073
C17 1.736 -0.823 -0.014

Atom - Atom Distances (Å)
  H1 H2 H3 C4 H5 H6 C7 H8 C9 H10 H11 H12 C13 H14 H15 H16 C17
H11.77411.77001.09912.47392.52362.18143.76273.53303.85765.18154.36904.14585.63364.80524.92704.6974
H21.77411.77461.10072.53943.09042.18232.56952.84043.11874.33464.15973.50784.91474.34804.79424.2058
H31.77001.77461.09903.08782.52872.19343.17982.90372.28893.88563.17182.88245.06214.81694.58664.3346
C41.09911.10071.09902.15672.16731.52952.76802.58722.84384.13903.52833.14234.75454.16694.26713.9156
H52.47392.53943.08782.15671.76121.10272.50612.15663.85394.31983.78023.48603.68642.44173.01422.6629
H62.52363.09042.52872.16731.76121.10443.05782.16123.15623.78302.58752.77693.79803.14682.60922.7875
C72.18142.18232.19341.52951.10271.10442.14641.53862.83333.50922.81602.55213.49172.76622.79852.5240
H83.76272.56953.17982.76802.50613.05782.14641.10562.50272.50653.07402.14822.50392.50083.07472.1478
C93.53302.84042.90372.58722.15662.16121.53861.10562.19842.18352.17981.53282.18832.18922.18091.5325
H103.85763.11872.28892.84383.85393.15622.83332.50272.19841.77281.77731.09863.76694.35293.81903.4907
H115.18154.33463.88564.13904.31983.78303.50922.50652.18351.77281.77581.09972.52783.75773.11222.7443
H124.36904.15973.17183.52833.78022.58752.81603.07402.17981.77731.77581.10193.14223.81482.62162.7986
C134.14583.50782.88243.14233.48602.77692.55212.14821.53281.09861.09971.10192.76033.48642.79282.5184
H145.63364.91475.06214.75453.68643.79803.49172.50392.18833.76692.52783.14222.76031.77821.77561.0997
H154.80524.34804.81694.16692.44173.14682.76622.50082.18924.35293.75773.81483.48641.77821.77681.0998
H164.92704.79424.58664.26713.01422.60922.79853.07472.18093.81903.11222.62162.79281.77561.77681.1016
C174.69744.20584.33463.91562.66292.78752.52402.14781.53253.49072.74432.79862.51841.09971.09981.1016

picture of Butane, 2-methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
H1 C4 H2 107.508 H1 C4 H3 107.269
H1 C4 C7 111.116 H2 C4 H3 107.558
H2 C4 C7 111.085 H3 C4 C7 112.083
C4 C7 H5 108.961 C4 C7 H6 109.687
C4 C7 C9 114.973 H5 C7 H6 105.881
H5 C7 C9 108.345 H6 C7 C9 108.599
C7 C9 H8 107.402 C7 C9 C13 112.390
C7 C9 C17 110.544 H8 C9 C13 107.917
H8 C9 C17 107.915 C9 C13 H10 112.273
C9 C13 H11 111.013 C9 C13 H12 110.586
C9 C17 H14 111.421 C9 C17 H15 111.481
C9 C17 H16 110.710 H10 C13 H11 107.501
H10 C13 H12 107.739 H11 C13 H12 107.529
C13 C9 C17 110.487 H14 C17 H15 107.890
H14 C17 H16 107.530 H15 C17 H16 107.630
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 H 0.095      
2 H 0.088      
3 H 0.092      
4 C -0.300      
5 H 0.074      
6 H 0.069      
7 C -0.123      
8 H 0.060      
9 C -0.008      
10 H 0.089      
11 H 0.087      
12 H 0.081      
13 C -0.279      
14 H 0.087      
15 H 0.086      
16 H 0.082      
17 C -0.281      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.034 -0.042 -0.077 0.094
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.067 0.282 -0.237
y 0.282 -35.817 0.079
z -0.237 0.079 -35.237
Traceless
 xyz
x -0.540 0.282 -0.237
y 0.282 -0.165 0.079
z -0.237 0.079 0.705
Polar
3z2-r21.411
x2-y2-0.250
xy0.282
xz-0.237
yz0.079


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.731 -0.053 0.015
y -0.053 9.648 -0.036
z 0.015 -0.036 8.667


<r2> (average value of r2) Å2
<r2> 158.813
(<r2>)1/2 12.602