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: M06-2X/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 1A1
Energy calculated at M06-2X/3-21G*
 hartrees
Energy at 0K-157.507407
Energy at 298.15K-157.518150
HF Energy-157.507407
Nuclear repulsion energy134.240092
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 M06-2X/3-21G*
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 3118 2953 43.72      
2 A1 3046 2885 24.50      
3 A1 3030 2870 0.15      
4 A1 1577 1494 23.85      
5 A1 1482 1404 6.80      
6 A1 1249 1183 1.76      
7 A1 812 770 1.14      
8 A1 444 420 0.43      
9 A2 3130 2965 0.00      
10 A2 1546 1465 0.00      
11 A2 1001 948 0.00      
12 A2 209 198 0.00      
13 E 3134 2969 32.62      
13 E 3134 2969 32.64      
14 E 3108 2944 11.67      
14 E 3108 2944 11.88      
15 E 3037 2877 14.04      
15 E 3037 2877 13.99      
16 E 1572 1489 6.47      
16 E 1571 1488 6.45      
17 E 1552 1470 0.90      
17 E 1552 1470 0.93      
18 E 1454 1378 12.26      
18 E 1454 1378 12.22      
19 E 1389 1315 3.62      
19 E 1388 1315 3.49      
20 E 1224 1159 4.12      
20 E 1223 1159 4.15      
21 E 999 946 0.04      
21 E 998 945 0.05      
22 E 961 910 3.30      
22 E 960 909 3.45      
23 E 375 355 0.02      
23 E 375 355 0.02      
24 E 261 247 0.01      
24 E 261 247 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 29385.9 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 27834.3 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 M06-2X/3-21G*
ABC
0.25889 0.25889 0.15080

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.398
H2 0.000 0.000 1.495
C3 0.000 1.457 -0.100
C4 1.262 -0.729 -0.100
C5 -1.262 -0.729 -0.100
H6 0.000 1.471 -1.197
H7 1.274 -0.735 -1.197
H8 -1.274 -0.735 -1.197
H9 0.889 1.992 0.251
H10 -0.889 1.992 0.251
H11 1.280 -1.766 0.251
H12 2.170 -0.226 0.251
H13 -2.170 -0.226 0.251
H14 -1.280 -1.766 0.251

Atom - Atom Distances (Å)
  C1 H2 C3 C4 C5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.09731.54031.54031.54032.16952.16952.16952.18642.18642.18642.18642.18642.1864
H21.09732.16092.16092.16093.06763.06763.06762.51142.51142.51142.51142.51142.5114
C31.54032.16092.52452.52451.09672.76302.76301.09531.09533.48632.76842.76843.4863
C41.54032.16092.52452.52452.76301.09672.76302.76843.48631.09531.09533.48632.7684
C51.54032.16092.52452.52452.76302.76301.09673.48632.76842.76843.48631.09531.0953
H62.16953.06761.09672.76302.76302.54772.54771.77711.77713.77003.11153.11153.7700
H72.16953.06762.76301.09672.76302.54772.54773.11153.77001.77711.77713.77003.1115
H82.16953.06762.76302.76301.09672.54772.54773.77003.11153.11153.77001.77711.7771
H92.18642.51141.09532.76843.48631.77713.11153.77001.77883.77832.56063.77834.3394
H102.18642.51141.09533.48632.76841.77713.77003.11151.77884.33943.77832.56063.7783
H112.18642.51143.48631.09532.76843.77001.77713.11153.77834.33941.77883.77832.5606
H122.18642.51142.76841.09533.48633.11151.77713.77002.56063.77831.77884.33943.7783
H132.18642.51142.76843.48631.09533.11153.77001.77713.77832.56063.77834.33941.7788
H142.18642.51143.48632.76841.09533.77003.11151.77714.33943.77832.56063.77831.7788

picture of Isobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 H6 109.570 C1 C3 H9 110.976
C1 C3 H10 110.976 C1 C4 H7 109.570
C1 C4 H11 110.976 C1 C4 H12 110.976
C1 C5 H8 109.570 C1 C5 H13 110.976
C1 C5 H14 110.976 H2 C1 C3 108.870
H2 C1 C4 108.870 H2 C1 C5 108.870
C3 C1 C4 110.065 C3 C1 C5 110.065
C4 C1 C5 110.065 H6 C3 H9 108.330
H6 C3 H10 108.330 H7 C4 H11 108.330
H7 C4 H12 108.330 H8 C5 H13 108.330
H8 C5 H14 108.330 H9 C3 H10 108.578
H11 C4 H12 108.578 H13 C5 H14 108.578
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.307      
2 H 0.202      
3 C -0.533      
4 C -0.533      
5 C -0.533      
6 H 0.187      
7 H 0.187      
8 H 0.187      
9 H 0.191      
10 H 0.191      
11 H 0.191      
12 H 0.191      
13 H 0.191      
14 H 0.191      


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 0.052 0.052
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.530 0.000 0.000
y 0.000 -28.530 0.000
z 0.000 0.000 -28.227
Traceless
 xyz
x -0.152 0.000 0.000
y 0.000 -0.152 0.000
z 0.000 0.000 0.303
Polar
3z2-r20.607
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 6.255 0.000 0.000
y 0.000 6.245 0.001
z 0.000 0.001 5.637


<r2> (average value of r2) Å2
<r2> 99.076
(<r2>)1/2 9.954