VSEPR Shape of Methane
Using VSEPR theory, predict the molecular geometry and bond angle of methane (CH4). Start from its Lewis structure: carbon in the center with four single C-H bonds and no lone pairs.
Given
Lewis structure of CH4: carbon central, 4 single C-H bonds, no lone pairs
VSEPR rule: electron domains repel and spread as far apart as possible
Carbon valence configuration used in bonding: 4 bonding domains
Find
The molecular geometry and bond angle of CH4.
Principle
VSEPR theory says that regions of electron density around a central atom — bonding pairs and lone pairs alike — repel each other and arrange themselves to maximize separation. Four identical domains spread into a tetrahedron, the arrangement that puts every pair as far from the others as three dimensions allow.
Formula
Solution
Count electron domains around carbon: 4 bonding pairs (C-H bonds) and 0 lone pairs, for a total of 4 domains.
With four domains, VSEPR gives the AX4 arrangement: electron geometry is tetrahedral.
Because there are no lone pairs, the molecular geometry is the same as the electron geometry: tetrahedral.
The ideal tetrahedral angle between any two bonds is 109.5 degrees.
Symmetry check: all four domains are identical C-H bonds, so no distortion occurs — the real H-C-H angle is 109.5 degrees.
Unit check
The prediction is geometric: bond angles in degrees must fall between the limiting cases (90 degrees for octahedral-derived shapes up to 180 for linear). 109.5 degrees sits exactly at the tetrahedral ideal, consistent with four equivalent domains.
What this means physically
Tetrahedral geometry is the signature shape of saturated carbon — the backbone of all organic chemistry. Because the four identical C-H bond dipoles point symmetrically, they cancel perfectly, making methane nonpolar despite having polar bonds.
Students call methane square planar because they draw it flat on paper, or forget that lone pairs (not just bonds) count as domains. Methane's flat drawing is a projection — the actual molecule is three-dimensional.