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 C6H14 (Butane, 2,3-dimethyl-)

using model chemistry: PBEPBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at PBEPBE/6-31G**
 hartrees
Energy at 0K-236.740493
Energy at 298.15K-236.755328
Nuclear repulsion energy261.040580
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/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3071 3029 0.00      
2 Ag 3049 3007 0.00      
3 Ag 2977 2937 0.00      
4 Ag 2923 2883 0.00      
5 Ag 1487 1467 0.00      
6 Ag 1469 1449 0.00      
7 Ag 1383 1364 0.00      
8 Ag 1331 1313 0.00      
9 Ag 1179 1163 0.00      
10 Ag 1160 1144 0.00      
11 Ag 930 917 0.00      
12 Ag 743 732 0.00      
13 Ag 486 479 0.00      
14 Ag 373 368 0.00      
15 Ag 232 229 0.00      
16 Au 3071 3029 52.10      
17 Au 3045 3003 2.73      
18 Au 2973 2932 47.68      
19 Au 1466 1446 5.11      
20 Au 1446 1426 0.70      
21 Au 1363 1344 8.69      
22 Au 1296 1278 4.42      
23 Au 1065 1051 1.58      
24 Au 945 932 0.61      
25 Au 901 889 2.81      
26 Au 292 288 0.04      
27 Au 194 192 0.03      
28 Au 60 59 0.00      
29 Bg 3060 3018 0.00      
30 Bg 3045 3003 0.00      
31 Bg 2971 2931 0.00      
32 Bg 1455 1435 0.00      
33 Bg 1446 1426 0.00      
34 Bg 1358 1339 0.00      
35 Bg 1308 1291 0.00      
36 Bg 1147 1132 0.00      
37 Bg 940 927 0.00      
38 Bg 893 881 0.00      
39 Bg 414 409 0.00      
40 Bg 197 194 0.00      
41 Bu 3063 3021 74.51      
42 Bu 3050 3008 120.11      
43 Bu 2974 2934 60.14      
44 Bu 2938 2898 38.37      
45 Bu 1473 1453 13.84      
46 Bu 1465 1445 17.27      
47 Bu 1376 1357 12.65      
48 Bu 1263 1246 7.76      
49 Bu 1145 1129 9.29      
50 Bu 969 956 8.13      
51 Bu 859 847 3.20      
52 Bu 396 391 0.16      
53 Bu 341 336 0.17      
54 Bu 211 208 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 40333.0 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 39780.4 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/6-31G**
ABC
0.13938 0.09518 0.06193

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.232 0.742 0.000
C2 0.232 -0.742 0.000
H3 -1.343 0.733 0.000
H4 1.343 -0.733 0.000
C5 0.232 1.500 1.256
C6 0.232 1.500 -1.256
C7 -0.232 -1.500 1.256
C8 -0.232 -1.500 -1.256
H9 1.334 1.486 1.338
H10 1.334 1.486 -1.338
H11 -1.334 -1.486 1.338
H12 -1.334 -1.486 -1.338
H13 -0.080 2.557 1.211
H14 -0.179 1.074 2.184
H15 -0.080 2.557 -1.211
H16 -0.179 1.074 -2.184
H17 0.080 -2.557 1.211
H18 0.179 -1.074 2.184
H19 0.080 -2.557 -1.211
H20 0.179 -1.074 -2.184

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20
C11.55491.11042.15781.53891.53892.56992.56992.19042.19042.82252.82252.18722.20932.18722.20933.52802.86983.52802.8698
C21.55492.15781.11042.56992.56991.53891.53892.82252.82252.19042.19043.52802.86983.52802.86982.18722.20932.18722.2093
H31.11042.15783.05942.15582.15582.79222.79223.08603.08602.59082.59082.52742.49762.52742.49763.78343.21723.78343.2172
H42.15781.11043.05942.79222.79222.15582.15582.59082.59083.08603.08603.78343.21723.78343.21722.52742.49762.52742.4976
C51.53892.56992.15582.79222.51133.03653.94051.10502.81783.37334.25421.10281.10102.70153.48994.06052.73724.75074.2965
C61.53892.56992.15582.79222.51133.94053.03652.81781.10504.25423.37332.70153.48991.10281.10104.75074.29654.06052.7372
C72.56991.53892.79222.15583.03653.94052.51133.37334.25421.10502.81784.06052.73724.75074.29651.10281.10102.70153.4899
C82.56991.53892.79222.15583.94053.03652.51134.25423.37332.81781.10504.75074.29654.06052.73722.70153.48991.10281.1010
H92.19042.82253.08602.59081.10502.81783.37334.25422.67543.99424.80741.77891.78223.10543.85494.23482.93324.94094.5042
H102.19042.82253.08602.59082.81781.10504.25423.37332.67544.80743.99423.10543.85491.77891.78224.94094.50424.23482.9332
H112.82252.19042.59083.08603.37334.25421.10502.81783.99424.80742.67544.23482.93324.94094.50421.77891.78223.10543.8549
H122.82252.19042.59083.08604.25423.37332.81781.10504.80743.99422.67544.94094.50424.23482.93323.10543.85491.77891.7822
H132.18723.52802.52743.78341.10282.70154.06054.75071.77893.10544.23484.94091.77612.42183.70555.11653.76825.66074.9775
H142.20932.86982.49763.21721.10103.48992.73724.29651.78223.85492.93324.50421.77613.70554.36713.76822.17824.97754.8802
H152.18723.52802.52743.78342.70151.10284.75074.06053.10541.77894.94094.23482.42183.70551.77615.66074.97755.11653.7682
H162.20932.86982.49763.21723.48991.10104.29652.73723.85491.78224.50422.93323.70554.36711.77614.97754.88023.76822.1782
H173.52802.18723.78342.52744.06054.75071.10282.70154.23484.94091.77893.10545.11653.76825.66074.97751.77612.42183.7055
H182.86982.20933.21722.49762.73724.29651.10103.48992.93324.50421.78223.85493.76822.17824.97754.88021.77613.70554.3671
H193.52802.18723.78342.52744.75074.06052.70151.10284.94094.23483.10541.77895.66074.97755.11653.76822.42183.70551.7761
H202.86982.20933.21722.49764.29652.73723.48991.10104.50422.93323.85491.78224.97754.88023.76822.17823.70554.36711.7761

picture of Butane, 2,3-dimethyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H4 106.924 C1 C2 C7 112.335
C1 C2 C8 112.335 C1 C5 H9 110.815
C1 C5 H13 110.697 C1 C5 H14 112.576
C1 C6 H10 110.815 C1 C6 H15 110.697
C1 C6 H16 112.576 C2 C1 H3 106.924
C2 C1 C5 112.335 C2 C1 C6 112.335
C2 C7 H11 110.815 C2 C7 H17 110.697
C2 C7 H18 112.576 C2 C8 H12 110.815
C2 C8 H19 110.697 C2 C8 H20 112.576
H3 C1 C5 107.826 H3 C1 C6 107.826
H4 C2 C7 107.826 H4 C2 C8 107.826
C5 C1 C6 109.368 C7 C2 C8 109.368
H9 C5 H13 107.357 H9 C5 H14 107.779
H10 C6 H15 107.357 H10 C6 H16 107.779
H11 C7 H17 107.357 H11 C7 H18 107.779
H12 C8 H19 107.357 H12 C8 H20 107.779
H13 C5 H14 107.397 H15 C6 H16 107.397
H17 C7 H18 107.397 H19 C8 H20 107.397
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.065      
2 C -0.065      
3 H 0.097      
4 H 0.097      
5 C -0.360      
6 C -0.360      
7 C -0.360      
8 C -0.360      
9 H 0.114      
10 H 0.114      
11 H 0.114      
12 H 0.114      
13 H 0.112      
14 H 0.117      
15 H 0.112      
16 H 0.117      
17 H 0.112      
18 H 0.117      
19 H 0.112      
20 H 0.117      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.186 -0.269 0.000
y -0.269 -41.513 0.000
z 0.000 0.000 -41.784
Traceless
 xyz
x 0.463 -0.269 0.000
y -0.269 -0.028 0.000
z 0.000 0.000 -0.435
Polar
3z2-r2-0.870
x2-y20.327
xy-0.269
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.878 0.212 0.000
y 0.212 10.917 0.000
z 0.000 0.000 10.250


<r2> (average value of r2) Å2
<r2> 209.986
(<r2>)1/2 14.491