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: B3LYPultrafine/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 1A1
Energy calculated at B3LYPultrafine/cc-pVTZ
 hartrees
Energy at 0K-158.521007
Energy at 298.15K-158.531677
HF Energy-158.521007
Nuclear repulsion energy134.538583
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/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 A1 3079 2977 102.36      
2 A1 3020 2919 16.56      
3 A1 2994 2894 11.69      
4 A1 1515 1465 16.90      
5 A1 1431 1384 3.40      
6 A1 1212 1172 0.13      
7 A1 795 769 0.56      
8 A1 431 417 0.20      
9 A2 3079 2976 0.00      
10 A2 1484 1435 0.00      
11 A2 960 928 0.00      
12 A2 214 207 0.00      
13 E 3083 2980 58.97      
13 E 3083 2980 58.98      
14 E 3069 2967 7.41      
14 E 3069 2967 7.41      
15 E 3013 2912 34.48      
15 E 3013 2912 34.48      
16 E 1508 1458 3.89      
16 E 1508 1458 3.89      
17 E 1491 1441 0.39      
17 E 1491 1441 0.39      
18 E 1403 1356 6.23      
18 E 1403 1356 6.23      
19 E 1363 1317 3.46      
19 E 1363 1317 3.46      
20 E 1193 1153 2.76      
20 E 1193 1153 2.76      
21 E 972 940 0.00      
21 E 972 940 0.00      
22 E 926 895 0.88      
22 E 926 895 0.88      
23 E 364 352 0.01      
23 E 364 352 0.01      
24 E 255 247 0.01      
24 E 255 247 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 28745.3 cm-1
Scaled (by 0.9667) Zero Point Vibrational Energy (zpe) 27788.1 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 B3LYPultrafine/cc-pVTZ
ABC
0.25974 0.25974 0.15032

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

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.371
H2 0.000 0.000 1.467
C3 0.000 1.458 -0.095
C4 1.263 -0.729 -0.095
C5 -1.263 -0.729 -0.095
H6 0.000 1.516 -1.187
H7 1.313 -0.758 -1.187
H8 -1.313 -0.758 -1.187
H9 0.882 1.991 0.264
H10 -0.882 1.991 0.264
H11 1.283 -1.759 0.264
H12 2.165 -0.231 0.264
H13 -2.165 -0.231 0.264
H14 -1.283 -1.759 0.264

Atom - Atom Distances (Å)
  C1 H2 C3 C4 C5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.09531.53091.53091.53092.17402.17402.17402.18012.18012.18012.18012.18012.1801
H21.09532.13682.13682.13683.05613.05613.05612.48752.48752.48752.48752.48752.4875
C31.53092.13682.52532.52531.09322.79732.79731.09151.09153.48242.76972.76973.4824
C41.53092.13682.52532.52532.79731.09322.79732.76973.48241.09151.09153.48242.7697
C51.53092.13682.52532.52532.79732.79731.09323.48242.76972.76973.48241.09151.0915
H62.17403.05611.09322.79732.79732.62532.62531.76361.76363.80513.13793.13793.8051
H72.17403.05612.79731.09322.79732.62532.62533.13793.80511.76361.76363.80513.1379
H82.17403.05612.79732.79731.09322.62532.62533.80513.13793.13793.80511.76361.7636
H92.18012.48751.09152.76973.48241.76363.13793.80511.76433.77152.56603.77154.3303
H102.18012.48751.09153.48242.76971.76363.80513.13791.76434.33033.77152.56603.7715
H112.18012.48753.48241.09152.76973.80511.76363.13793.77154.33031.76433.77152.5660
H122.18012.48752.76971.09153.48243.13791.76363.80512.56603.77151.76434.33033.7715
H132.18012.48752.76973.48241.09153.13793.80511.76363.77152.56603.77154.33031.7643
H142.18012.48753.48242.76971.09153.80513.13791.76364.33033.77152.56603.77151.7643

picture of Isobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 H6 110.782 C1 C3 H9 111.372
C1 C3 H10 111.372 C1 C4 H7 110.782
C1 C4 H11 111.372 C1 C4 H12 111.372
C1 C5 H8 110.782 C1 C5 H13 111.372
C1 C5 H14 111.372 H2 C1 C3 107.754
H2 C1 C4 107.754 H2 C1 C5 107.754
C3 C1 C4 111.132 C3 C1 C5 111.132
C4 C1 C5 111.132 H6 C3 H9 107.651
H6 C3 H10 107.651 H7 C4 H11 107.651
H7 C4 H12 107.651 H8 C5 H13 107.651
H8 C5 H14 107.651 H9 C3 H10 107.840
H11 C4 H12 107.839 H13 C5 H14 107.839
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.014      
2 H 0.083      
3 C -0.290      
4 C -0.290      
5 C -0.290      
6 H 0.085      
7 H 0.085      
8 H 0.085      
9 H 0.091      
10 H 0.091      
11 H 0.091      
12 H 0.091      
13 H 0.091      
14 H 0.091      


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 0.131 0.131
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.149 -0.000 -0.000
y -0.000 -29.149 0.000
z -0.000 0.000 -28.512
Traceless
 xyz
x -0.319 -0.000 -0.000
y -0.000 -0.319 0.000
z -0.000 0.000 0.638
Polar
3z2-r21.276
x2-y20.000
xy-0.000
xz-0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.918 -0.000 0.000
y -0.000 7.918 0.000
z 0.000 0.000 6.949


<r2> (average value of r2) Å2
<r2> 99.467
(<r2>)1/2 9.973