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: B3LYPultrafine/aug-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 B3LYPultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-197.848458
Energy at 298.15K-197.861328
HF Energy-197.848458
Nuclear repulsion energy192.273022
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 B3LYPultrafine/aug-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 3093 2992 36.78      
2 A 3085 2985 58.33      
3 A 3080 2980 30.08      
4 A 3078 2978 65.80      
5 A 3074 2974 41.18      
6 A 3068 2969 6.55      
7 A 3029 2931 22.70      
8 A 3022 2924 22.75      
9 A 3018 2920 40.12      
10 A 3013 2915 31.00      
11 A 2999 2901 30.03      
12 A 2980 2883 7.95      
13 A 1514 1464 4.97      
14 A 1508 1459 11.17      
15 A 1505 1456 2.63      
16 A 1501 1452 11.71      
17 A 1496 1447 1.49      
18 A 1489 1441 0.08      
19 A 1482 1434 0.14      
20 A 1422 1376 4.21      
21 A 1413 1367 4.55      
22 A 1401 1355 5.57      
23 A 1383 1338 0.24      
24 A 1371 1326 2.09      
25 A 1331 1288 2.30      
26 A 1300 1258 1.24      
27 A 1205 1166 0.12      
28 A 1194 1155 1.73      
29 A 1168 1130 2.37      
30 A 1041 1008 0.47      
31 A 1026 992 2.22      
32 A 987 955 3.04      
33 A 964 933 0.08      
34 A 930 900 0.69      
35 A 912 883 0.46      
36 A 798 772 0.59      
37 A 764 739 1.57      
38 A 457 442 0.16      
39 A 414 400 0.12      
40 A 364 353 0.01      
41 A 264 255 0.01      
42 A 256 248 0.00      
43 A 224 216 0.01      
44 A 213 206 0.03      
45 A 94 91 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 34964.3 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 33828.0 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 B3LYPultrafine/aug-cc-pVTZ
ABC
0.24356 0.11145 0.08521

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
H1 -2.932 -0.601 0.299
H2 -2.211 -0.016 -1.198
H3 -2.188 0.990 0.248
C4 -2.096 -0.034 -0.113
H5 -0.768 -1.720 -0.003
H6 -0.662 -0.651 1.378
C7 -0.760 -0.666 0.287
H8 0.349 -0.004 -1.416
C9 0.482 -0.003 -0.328
H10 -0.198 2.072 -0.164
H11 1.545 1.894 -0.324
H12 0.760 1.511 1.207
C13 0.652 1.452 0.121
H14 2.624 -0.380 -0.479
H15 1.648 -1.846 -0.362
H16 1.920 -0.848 1.068
C17 1.741 -0.816 -0.010

Atom - Atom Distances (Å)
  H1 H2 H3 C4 H5 H6 C7 H8 C9 H10 H11 H12 C13 H14 H15 H16 C17
H11.76161.75771.09092.45412.51362.17253.74963.52193.85175.16334.34954.13465.61424.79184.91834.6875
H21.76161.76241.09212.53273.07242.17592.56942.83013.07994.30424.11703.47834.90194.35244.78474.2036
H31.75771.76241.09023.06972.50972.18663.19262.90592.30213.88323.14352.88035.05564.80934.57434.3316
C41.09091.09211.09022.14822.15791.53022.77042.58652.83574.12553.50513.13304.74634.16644.26373.9164
H52.45412.53273.06972.14821.74901.09352.48782.14883.83814.30333.77343.47803.67822.44633.02182.6666
H62.51363.07242.50972.15791.74901.09493.04062.15393.16363.77472.59362.78063.78413.12882.60792.7795
C72.17252.17592.18661.53021.09351.09492.13751.53662.83113.49902.80992.55133.48172.75952.79742.5230
H83.74962.56943.19262.77042.48783.04062.13751.09572.48552.49553.05712.13922.48882.48813.05752.1386
C93.52192.83012.90592.58652.14882.15391.53661.09572.18952.17492.17411.53242.18042.18132.17531.5324
H103.85173.07992.30212.83573.83813.16362.83112.48552.18951.75941.76421.09003.75164.33533.81173.4821
H115.16334.30423.88324.12554.30333.77473.49902.49552.17491.75941.76321.09132.52203.74153.09832.7359
H124.34954.11703.14353.50513.77342.59362.80993.05712.17411.76421.76321.09303.14543.80992.63242.8034
C134.13463.47832.88033.13303.47802.78062.55132.13921.53241.09001.09131.09302.75773.47862.79192.5196
H145.61424.90195.05564.74633.67823.78413.48172.48882.18043.75162.52203.14542.75771.76441.76301.0913
H154.79184.35244.80934.16642.44633.12882.75952.48812.18134.33533.74153.80993.47861.76441.76381.0914
H164.91834.78474.57434.26373.02182.60792.79743.05752.17533.81173.09832.63242.79191.76301.76381.0928
C174.68754.20364.33163.91642.66662.77952.52302.13861.53243.48212.73592.80342.51961.09131.09141.0928

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 107.598 H1 C4 H3 107.394
H1 C4 C7 110.847 H2 C4 H3 107.722
H2 C4 C7 111.051 H3 C4 C7 112.029
C4 C7 H5 108.788 C4 C7 H6 109.462
C4 C7 C9 114.999 H5 C7 H6 106.111
H5 C7 C9 108.395 H6 C7 C9 108.714
C7 C9 H8 107.410 C7 C9 C13 112.465
C7 C9 C17 110.590 H8 C9 C13 107.811
H8 C9 C17 107.769 C9 C13 H10 112.109
C9 C13 H11 110.858 C9 C13 H12 110.692
C9 C17 H14 111.294 C9 C17 H15 111.359
C9 C17 H16 110.800 H10 C13 H11 107.523
H10 C13 H12 107.829 H11 C13 H12 107.646
C13 C9 C17 110.591 H14 C17 H15 107.868
H14 C17 H16 107.644 H15 C17 H16 107.707
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 H 0.147      
2 H 0.161      
3 H 0.230      
4 C -0.806      
5 H 0.193      
6 H 0.152      
7 C -0.293      
8 H 0.258      
9 C 0.877      
10 H 0.190      
11 H 0.157      
12 H 0.180      
13 C -0.909      
14 H 0.147      
15 H 0.151      
16 H 0.169      
17 C -1.002      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.037 -0.044 -0.083 0.100
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.250 0.292 -0.249
y 0.292 -35.932 0.091
z -0.249 0.091 -35.266
Traceless
 xyz
x -0.651 0.292 -0.249
y 0.292 -0.174 0.091
z -0.249 0.091 0.825
Polar
3z2-r21.651
x2-y2-0.318
xy0.292
xz-0.249
yz0.091


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.743 -0.077 0.046
y -0.077 9.727 -0.045
z 0.046 -0.045 8.751


<r2> (average value of r2) Å2
<r2> 158.448
(<r2>)1/2 12.588