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 CH3CH(CH3)CH3 (Isobutane)

using model chemistry: PBEPBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 1A1
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-158.216102
Energy at 298.15K-158.226615
HF Energy-158.216102
Nuclear repulsion energy133.522292
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-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3040 3023 80.35      
2 A1 2961 2944 12.89      
3 A1 2940 2923 17.15      
4 A1 1433 1425 16.02      
5 A1 1357 1349 1.94      
6 A1 1156 1149 0.48      
7 A1 794 790 0.87      
8 A1 421 418 0.36      
9 A2 3042 3025 0.00      
10 A2 1399 1391 0.00      
11 A2 910 905 0.00      
12 A2 208 207 0.00      
13 E 3046 3028 46.91      
13 E 3046 3028 46.92      
14 E 3033 3015 5.63      
14 E 3033 3015 5.63      
15 E 2955 2938 35.35      
15 E 2955 2938 35.37      
16 E 1430 1422 2.59      
16 E 1430 1422 2.59      
17 E 1405 1397 0.31      
17 E 1405 1397 0.31      
18 E 1331 1324 6.90      
18 E 1331 1324 6.90      
19 E 1295 1288 3.79      
19 E 1295 1288 3.79      
20 E 1154 1148 2.33      
20 E 1154 1148 2.33      
21 E 952 946 0.21      
21 E 952 946 0.21      
22 E 886 881 1.27      
22 E 886 881 1.27      
23 E 348 346 0.01      
23 E 348 346 0.01      
24 E 254 252 0.01      
24 E 254 252 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 27920.0 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 27758.1 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-pVDZ
ABC
0.25684 0.25684 0.14899

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

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.374
H2 0.000 0.000 1.488
C3 0.000 1.462 -0.096
C4 1.266 -0.731 -0.096
C5 -1.266 -0.731 -0.096
H6 0.000 1.521 -1.206
H7 1.317 -0.760 -1.206
H8 -1.317 -0.760 -1.206
H9 0.896 2.006 0.268
H10 -0.896 2.006 0.268
H11 1.289 -1.779 0.268
H12 2.185 -0.226 0.268
H13 -2.185 -0.226 0.268
H14 -1.289 -1.779 0.268

Atom - Atom Distances (Å)
  C1 H2 C3 C4 C5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.11451.53561.53561.53562.19252.19252.19252.19952.19952.19952.19952.19952.1995
H21.11452.15562.15562.15563.09353.09353.09352.51322.51322.51322.51322.51322.5132
C31.53562.15562.53262.53261.11162.81192.81191.10961.10963.50712.78552.78553.5071
C41.53562.15562.53262.53262.81191.11162.81192.78553.50711.10961.10963.50712.7855
C51.53562.15562.53262.53262.81192.81191.11163.50712.78552.78553.50711.10961.1096
H62.19253.09351.11162.81192.81192.63412.63411.79161.79163.83703.16223.16223.8370
H72.19253.09352.81191.11162.81192.63412.63413.16223.83701.79161.79163.83703.1622
H82.19253.09352.81192.81191.11162.63412.63413.83703.16223.16223.83701.79161.7916
H92.19952.51321.10962.78553.50711.79163.16223.83701.79303.80522.57753.80524.3705
H102.19952.51321.10963.50712.78551.79163.83703.16221.79304.37053.80522.57753.8052
H112.19952.51323.50711.10962.78553.83701.79163.16223.80524.37051.79293.80522.5775
H122.19952.51322.78551.10963.50713.16221.79163.83702.57753.80521.79294.37053.8052
H132.19952.51322.78553.50711.10963.16223.83701.79163.80522.57753.80524.37051.7929
H142.19952.51323.50712.78551.10963.83703.16221.79164.37053.80522.57753.80521.7929

picture of Isobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 H6 110.819 C1 C3 H9 111.489
C1 C3 H10 111.489 C1 C4 H7 110.819
C1 C4 H11 111.489 C1 C4 H12 111.489
C1 C5 H8 110.819 C1 C5 H13 111.489
C1 C5 H14 111.489 H2 C1 C3 107.796
H2 C1 C4 107.796 H2 C1 C5 107.796
C3 C1 C4 111.093 C3 C1 C5 111.093
C4 C1 C5 111.093 H6 C3 H9 107.532
H6 C3 H10 107.532 H7 C4 H11 107.532
H7 C4 H12 107.532 H8 C5 H13 107.532
H8 C5 H14 107.532 H9 C3 H10 107.788
H11 C4 H12 107.788 H13 C5 H14 107.788
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.174      
2 H 0.008      
3 C -0.016      
4 C -0.016      
5 C -0.016      
6 H 0.025      
7 H 0.025      
8 H 0.025      
9 H 0.023      
10 H 0.023      
11 H 0.023      
12 H 0.023      
13 H 0.023      
14 H 0.023      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.109 0.109
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.733 0.000 0.000
y 0.000 -28.733 0.000
z 0.000 0.000 -28.294
Traceless
 xyz
x -0.220 0.000 0.000
y 0.000 -0.220 0.000
z 0.000 0.000 0.439
Polar
3z2-r20.879
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.557 0.000 0.000
y 0.000 7.557 0.000
z 0.000 0.000 6.624


<r2> (average value of r2) Å2
<r2> 100.244
(<r2>)1/2 10.012