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

using model chemistry: B3LYP/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3LYP/cc-pVTZ
 hartrees
Energy at 0K-276.500969
Energy at 298.15K-276.518196
Nuclear repulsion energy322.243886
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 B3LYP/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 A 3099 2995 32.47      
2 A 3091 2987 68.11      
3 A 3084 2981 42.05      
4 A 3083 2980 19.71      
5 A 3080 2977 75.10      
6 A 3079 2976 39.10      
7 A 3049 2947 31.08      
8 A 3034 2933 27.06      
9 A 3024 2923 24.48      
10 A 3022 2921 32.97      
11 A 3020 2919 42.28      
12 A 3019 2918 15.02      
13 A 3010 2909 38.37      
14 A 3004 2904 27.03      
15 A 2989 2889 8.73      
16 A 2974 2874 6.44      
17 A 1517 1467 8.89      
18 A 1513 1463 7.17      
19 A 1510 1459 3.15      
20 A 1502 1452 2.90      
21 A 1501 1451 3.00      
22 A 1500 1450 9.13      
23 A 1497 1447 1.20      
24 A 1492 1442 0.00      
25 A 1481 1431 0.19      
26 A 1420 1372 7.01      
27 A 1418 1370 2.26      
28 A 1414 1367 2.82      
29 A 1396 1349 0.70      
30 A 1385 1338 0.25      
31 A 1378 1332 2.06      
32 A 1345 1300 0.12      
33 A 1331 1287 0.72      
34 A 1309 1265 0.58      
35 A 1292 1249 0.42      
36 A 1263 1221 1.94      
37 A 1202 1162 0.02      
38 A 1178 1138 5.28      
39 A 1169 1130 0.25      
40 A 1087 1051 2.06      
41 A 1059 1024 0.31      
42 A 1043 1009 0.16      
43 A 1030 995 0.50      
44 A 996 962 3.29      
45 A 975 942 2.52      
46 A 938 907 2.18      
47 A 881 851 0.88      
48 A 870 841 0.48      
49 A 822 794 0.28      
50 A 776 750 2.67      
51 A 744 719 1.89      
52 A 505 488 0.15      
53 A 438 423 0.16      
54 A 375 362 0.12      
55 A 320 309 0.03      
56 A 295 285 0.00      
57 A 258 250 0.00      
58 A 241 233 0.00      
59 A 214 207 0.03      
60 A 154 148 0.01      
61 A 108 104 0.01      
62 A 79 76 0.00      
63 A 65 63 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 47469.0 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 45883.5 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 B3LYP/cc-pVTZ
ABC
0.19212 0.03631 0.03273

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.572 0.142 -0.204
H2 -0.590 0.111 -1.301
C3 -0.768 1.599 0.228
C4 -1.709 -0.763 0.300
C5 0.788 -0.413 0.252
C6 -3.092 -0.451 -0.273
C7 2.017 0.248 -0.376
C8 3.327 -0.417 0.046
H9 -0.755 1.682 1.318
H10 0.017 2.246 -0.164
H11 -1.719 2.000 -0.124
H12 -1.746 -0.708 1.394
H13 -1.457 -1.799 0.060
H14 0.820 -1.484 0.023
H15 0.855 -0.337 1.343
H16 -3.829 -1.176 0.074
H17 -3.447 0.538 0.020
H18 -3.081 -0.488 -1.365
H19 2.053 1.306 -0.110
H20 1.926 0.211 -1.466
H21 4.188 0.068 -0.417
H22 3.463 -0.368 1.129
H23 3.346 -1.470 -0.240

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
C11.09741.53281.53831.53792.58952.59673.94682.17372.18542.18522.15762.14962.15152.15893.52472.91092.83592.87292.79934.76534.27964.2364
H21.09742.14102.14012.14152.76202.77004.17633.05892.49412.49573.04452.50032.50683.04693.74643.17612.56303.13602.52374.85994.75004.3727
C31.53282.14102.54342.54413.13863.15414.56831.09361.08981.08992.76383.47163.47362.76204.13452.88883.49942.85623.47215.22754.75225.1541
C41.53832.14012.54342.52201.52883.91985.05492.81513.49942.79471.09531.09372.64412.80102.17142.18822.17524.31304.15745.99875.25295.1329
C51.53792.14152.54412.52203.91521.53042.54762.81242.79983.49982.79542.64541.09491.09644.68294.34654.19422.16522.15323.49862.81542.8109
C62.58952.76203.13861.52883.91525.15736.42703.54164.11652.81272.15742.14514.05614.26671.09101.09041.09245.43875.19987.29986.70336.5178
C72.59672.77003.15413.91981.53045.15731.52853.55142.83534.13424.26734.05592.14282.15616.03375.48605.24541.09221.09462.17902.17592.1763
C83.94684.17634.56835.05492.54766.42701.52854.76314.25355.59755.25774.98032.72562.79287.19656.84116.56272.14882.15531.09101.09211.0921
H92.17373.05891.09362.81512.81243.54163.55144.76311.76311.76312.58883.76813.76552.58284.37823.20044.16223.17234.13585.48194.69355.4020
H102.18542.49411.08983.49942.79984.11652.83534.25351.76311.75363.77614.31113.81963.10575.15333.86644.30332.24303.07954.71264.51424.9899
H112.18522.49571.08992.79473.49982.81274.13425.59751.76311.75363.10383.81244.31273.77343.81802.26813.09653.83504.27656.22205.83326.1406
H122.15763.04452.76381.09532.79542.15744.26735.25772.58883.77613.10381.74773.01062.62852.50952.51583.07254.55544.74456.25305.22715.4019
H132.14962.50033.47161.09372.64542.14514.05594.98033.76814.31113.81241.74772.29863.02222.45233.06952.52714.68974.22075.96525.23434.8235
H142.15152.50683.47362.64411.09494.05612.14282.72563.76553.81964.31273.01062.29861.74904.65884.72094.25843.05342.51283.73493.07492.5401
H152.15893.04692.76202.80101.09644.26672.15612.79282.58283.10573.77342.62853.02221.74904.92524.58534.78072.49933.05633.79092.61663.1613
H163.52473.74644.13452.17144.68291.09106.03377.19654.37825.15333.81802.50952.45234.65884.92521.75661.76136.38686.11678.12797.41197.1876
H172.91093.17612.88882.18824.34651.09045.48606.84113.20043.86642.26812.51583.06954.72094.58531.75661.76205.55475.58427.66207.05657.0880
H182.83592.56303.49942.17524.19421.09245.24546.56274.16224.30333.09653.07252.52714.25844.78071.76131.76205.58185.05707.35237.00446.5985
H192.87293.13602.85624.31302.16525.43871.09222.14883.17232.24303.83504.55544.68973.05342.49936.38685.55475.58181.74822.48762.51523.0658
H202.79932.52373.47214.15742.15325.19981.09462.15534.13583.07954.27654.74454.22072.51283.05636.11675.58425.05701.74822.49793.07112.5193
H214.76534.85995.22755.99873.49867.29982.17901.09105.48194.71266.22206.25305.96523.73493.79098.12797.66207.35232.48762.49791.76211.7627
H224.27964.75004.75225.25292.81546.70332.17591.09214.69354.51425.83325.22715.23433.07492.61667.41197.05657.00442.51523.07111.76211.7612
H234.23644.37275.15415.13292.81096.51782.17631.09215.40204.98996.14065.40194.82352.54013.16137.18767.08806.59853.06582.51931.76271.7612

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 110.601 C1 C3 H10 111.764
C1 C3 H11 111.744 C1 C4 C6 115.186
C1 C4 H12 108.855 C1 C4 H13 108.330
C1 C5 C7 115.628 C1 C5 H14 108.442
C1 C5 H15 108.926 H2 C1 C3 107.833
H2 C1 C4 107.391 H2 C1 C5 107.530
C3 C1 C4 111.821 C3 C1 C5 111.897
C4 C1 C5 110.142 C4 C6 H16 110.851
C4 C6 H17 112.245 C4 C6 H18 111.066
C5 C7 C8 112.785 C5 C7 H19 110.180
C5 C7 H20 109.097 C6 C4 H12 109.490
C6 C4 H13 108.619 C7 C5 H14 108.278
C7 C5 H15 109.215 C7 C8 H21 111.476
C7 C8 H22 111.161 C7 C8 H23 111.195
C8 C7 H19 109.018 C8 C7 H20 109.386
H9 C3 H10 107.704 H9 C3 H11 107.696
H10 C3 H11 107.127 H12 C4 H13 105.960
H14 C5 H15 105.913 H16 C6 H17 107.271
H16 C6 H18 107.538 H17 C6 H18 107.653
H19 C7 H20 106.158 H21 C8 H22 107.640
H21 C8 H23 107.695 H22 C8 H23 107.482
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.000      
2 H 0.069      
3 C -0.312      
4 C -0.149      
5 C -0.137      
6 C -0.315      
7 C -0.159      
8 C -0.307      
9 H 0.083      
10 H 0.095      
11 H 0.096      
12 H 0.077      
13 H 0.083      
14 H 0.077      
15 H 0.073      
16 H 0.098      
17 H 0.093      
18 H 0.089      
19 H 0.087      
20 H 0.082      
21 H 0.097      
22 H 0.090      
23 H 0.089      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.001 -0.015 -0.074 0.076
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -50.081 0.401 -0.272
y 0.401 -49.236 0.300
z -0.272 0.300 -48.715
Traceless
 xyz
x -1.105 0.401 -0.272
y 0.401 0.162 0.300
z -0.272 0.300 0.944
Polar
3z2-r21.888
x2-y2-0.845
xy0.401
xz-0.272
yz0.300


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 15.258 -0.014 0.067
y -0.014 12.157 -0.094
z 0.067 -0.094 11.303


<r2> (average value of r2) Å2
<r2> 362.965
(<r2>)1/2 19.052