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All results from a given calculation for C7H16 (3-methylhexane)

using model chemistry: B3PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-276.324414
Energy at 298.15K-276.341551
Nuclear repulsion energy322.357317
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 B3PW91/6-31G(2df,p)
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 3129 3008 27.51      
2 A 3122 3002 55.47      
3 A 3119 2998 30.98      
4 A 3114 2994 51.31      
5 A 3114 2994 11.02      
6 A 3113 2993 48.13      
7 A 3077 2958 33.49      
8 A 3061 2943 22.86      
9 A 3045 2928 8.49      
10 A 3040 2923 25.97      
11 A 3038 2920 22.10      
12 A 3037 2919 41.34      
13 A 3030 2913 37.21      
14 A 3021 2905 33.41      
15 A 3007 2891 11.10      
16 A 2995 2879 7.87      
17 A 1508 1450 7.15      
18 A 1503 1445 6.43      
19 A 1500 1442 2.99      
20 A 1493 1435 4.49      
21 A 1492 1435 1.44      
22 A 1490 1433 7.53      
23 A 1486 1429 1.07      
24 A 1480 1422 0.08      
25 A 1467 1411 0.09      
26 A 1408 1354 7.86      
27 A 1405 1351 2.00      
28 A 1402 1348 1.38      
29 A 1391 1337 0.85      
30 A 1376 1323 0.99      
31 A 1374 1321 0.96      
32 A 1332 1280 0.13      
33 A 1322 1271 0.57      
34 A 1297 1247 0.64      
35 A 1280 1231 0.73      
36 A 1253 1205 3.25      
37 A 1196 1150 0.03      
38 A 1176 1131 4.45      
39 A 1173 1128 1.77      
40 A 1096 1054 1.30      
41 A 1067 1025 1.12      
42 A 1054 1013 0.13      
43 A 1036 996 0.56      
44 A 997 959 4.24      
45 A 966 928 2.73      
46 A 943 906 2.13      
47 A 889 854 1.07      
48 A 863 830 0.62      
49 A 824 792 0.21      
50 A 772 742 3.88      
51 A 737 708 2.07      
52 A 498 478 0.26      
53 A 431 414 0.21      
54 A 373 358 0.14      
55 A 318 306 0.04      
56 A 292 281 0.00      
57 A 259 249 0.00      
58 A 242 232 0.01      
59 A 211 203 0.03      
60 A 150 144 0.01      
61 A 105 101 0.01      
62 A 76 73 0.00      
63 A 63 60 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 47561.7 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 45725.8 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 B3PW91/6-31G(2df,p)
ABC
0.19276 0.03642 0.03281

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.570 0.140 -0.209
H2 -0.588 0.114 -1.311
C3 -0.767 1.593 0.229
C4 -1.704 -0.767 0.292
C5 0.787 -0.417 0.246
C6 -3.088 -0.443 -0.266
C7 2.014 0.255 -0.369
C8 3.322 -0.415 0.046
H9 -0.757 1.672 1.324
H10 0.021 2.244 -0.158
H11 -1.720 1.997 -0.124
H12 -1.732 -0.728 1.390
H13 -1.456 -1.806 0.036
H14 0.822 -1.489 0.006
H15 0.850 -0.355 1.343
H16 -3.828 -1.175 0.074
H17 -3.441 0.544 0.049
H18 -3.087 -0.460 -1.362
H19 2.048 1.313 -0.085
H20 1.925 0.237 -1.464
H21 4.188 0.078 -0.407
H22 3.455 -0.385 1.134
H23 3.342 -1.468 -0.257

Atom - Atom Distances (Å)
  C1 H2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20 H21 H22 H23
C11.10171.53081.53631.53582.58532.59203.93992.17612.18692.18652.15922.15142.15372.16103.52452.91102.83202.87222.79434.76264.27544.2299
H21.10172.14242.14282.14392.76642.77134.17273.06542.49752.49703.05182.50032.50893.05433.75173.18982.56413.14502.52074.86094.75074.3658
C31.53082.14242.54012.54083.12683.14424.55951.09731.09391.09402.76863.47293.47502.76534.12962.87813.48202.84673.45735.22054.74935.1471
C41.53632.14282.54012.51601.52693.91295.04492.81323.50012.79571.09941.09802.64322.79252.17322.18972.17724.30744.15495.99365.24155.1245
C51.53582.14392.54082.51603.90881.52882.54332.81282.79883.50032.78402.64581.09921.10054.67964.34034.19412.16712.15573.49862.81212.8085
C62.58532.76643.12681.52693.90885.15136.41823.52654.11142.80112.15942.14794.05724.25481.09481.09441.09615.43165.19907.29636.69156.5117
C72.59202.77133.14423.91291.52885.15131.52693.54352.82404.12844.25414.05602.14582.15846.03105.47945.24571.09661.09862.18102.17752.1779
C83.93994.17274.55955.04492.54336.41821.52694.75734.24375.59245.23944.97622.72142.79277.19046.83116.56182.15132.15811.09471.09591.0959
H92.17613.06541.09732.81322.81283.52653.54354.75731.76891.76902.59183.77413.77192.58684.37053.17844.14553.15974.12615.47664.69155.4006
H102.18692.49751.09393.50012.79884.11142.82404.24371.76891.75953.78254.31533.82223.11355.15413.86334.29202.23153.05904.70264.51334.9818
H112.18652.49701.09402.79573.50032.80114.12845.59241.76901.75953.11773.81544.31713.77993.81392.25933.07173.83024.26396.21855.83436.1362
H122.15923.05182.76861.09942.78402.15944.25415.23942.59183.78253.11771.75283.00332.60912.51492.51733.07914.54264.73826.23935.20485.3862
H132.15142.50033.47291.09802.64582.14794.05604.97623.77414.31533.81541.75282.29993.02132.45473.07622.53474.69274.22495.96625.22864.8187
H142.15372.50893.47502.64321.09924.05722.14582.72143.77193.82224.31713.00332.29991.75364.66114.72374.26743.06072.52133.73593.06962.5339
H152.16103.05432.76532.79251.10054.25482.15842.79272.58683.11353.77992.60913.02131.75364.91554.57084.77712.50173.06333.79412.61393.1643
H163.52453.75174.12962.17324.67961.09486.03107.19044.37055.15413.81392.51492.45474.66114.91551.76231.76716.38346.11998.12747.40187.1836
H172.91103.18982.87812.18974.34031.09445.47946.83113.17843.86332.25932.51733.07624.72374.57081.76231.76775.54485.58397.65717.04247.0821
H182.83202.56413.48202.17724.19411.09615.24576.56184.14554.29203.07173.07912.53474.26744.77711.76711.76775.58055.06087.35667.00176.6005
H192.87223.14502.84674.30742.16715.43161.09662.15133.15972.23153.83024.54264.69273.06072.50176.38345.54485.58051.75362.49162.51953.0725
H202.79432.52073.45734.15492.15575.19901.09862.15814.12613.05904.26394.73824.22492.52133.06336.11995.58395.06081.75362.50253.07792.5240
H214.76264.86095.22055.99363.49867.29632.18101.09475.47664.70266.21856.23935.96623.73593.79418.12747.65717.35662.49162.50251.76801.7686
H224.27544.75074.74935.24152.81216.69152.17751.09594.69154.51335.83435.20485.22863.06962.61397.40187.04247.00172.51953.07791.76801.7664
H234.22994.36585.14715.12452.80856.51172.17791.09595.40064.98186.13625.38624.81872.53393.16437.18367.08216.60053.07252.52401.76861.7664

picture of 3-methylhexane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 H9 110.709 C1 C3 H10 111.782
C1 C3 H11 111.747 C1 C4 C6 115.124
C1 C4 H12 108.879 C1 C4 H13 108.352
C1 C5 C7 115.518 C1 C5 H14 108.507
C1 C5 H15 108.994 H2 C1 C3 107.834
H2 C1 C4 107.490 H2 C1 C5 107.613
C3 C1 C4 111.823 C3 C1 C5 111.900
C4 C1 C5 109.968 C4 C6 H16 110.902
C4 C6 H17 112.247 C4 C6 H18 111.136
C5 C7 C8 112.682 C5 C7 H19 110.182
C5 C7 H20 109.167 C6 C4 H12 109.540
C6 C4 H13 108.720 C7 C5 H14 108.369
C7 C5 H15 109.274 C7 C8 H21 111.537
C7 C8 H22 111.184 C7 C8 H23 111.213
C8 C7 H19 109.072 C8 C7 H20 109.484
H9 C3 H10 107.659 H9 C3 H11 107.663
H10 C3 H11 107.067 H12 C4 H13 105.815
H14 C5 H15 105.730 H16 C6 H17 107.215
H16 C6 H18 107.521 H17 C6 H18 107.596
H19 C7 H20 106.035 H21 C8 H22 107.628
H21 C8 H23 107.683 H22 C8 H23 107.397
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.011      
2 H 0.096      
3 C -0.449      
4 C -0.221      
5 C -0.212      
6 C -0.454      
7 C -0.234      
8 C -0.442      
9 H 0.132      
10 H 0.137      
11 H 0.137      
12 H 0.117      
13 H 0.117      
14 H 0.113      
15 H 0.114      
16 H 0.136      
17 H 0.139      
18 H 0.135      
19 H 0.123      
20 H 0.119      
21 H 0.134      
22 H 0.136      
23 H 0.136      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 -0.020 -0.043 0.048
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.443 0.318 -0.208
y 0.318 -47.675 0.225
z -0.208 0.225 -47.172
Traceless
 xyz
x -1.019 0.318 -0.208
y 0.318 0.133 0.225
z -0.208 0.225 0.887
Polar
3z2-r21.774
x2-y2-0.768
xy0.318
xz-0.208
yz0.225


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.780 0.034 0.022
y 0.034 10.946 -0.032
z 0.022 -0.032 10.210


<r2> (average value of r2) Å2
<r2> 361.169
(<r2>)1/2 19.004