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No, lone pairs do not affect the shape of diatomic molecules because diatomic molecules consist of only two atoms which form a straight line by default. Lone pairs only exist in molecules with more than two atoms and they can affect the shape by influencing the bond angles.
The factors affecting the shape of the molecules are the bonded e and the lone pairs of electrons
Diatomic molecules have 2 atoms combined. The way they line up is determined by the desire to keep each atom as far away as possible from all the other electrons in the molecule apart from those being shared. The only way to do this is to be a linear molecule, so the atoms are side by side.
VSEPR theory is a model that predicts the three-dimensional molecular geometry of molecules based on the repulsion between electron pairs in the valence shell of an atom. It helps to determine the shape of molecules by considering the number of bonding and nonbonding electron pairs around the central atom.
Watson and Crick determined that DNA molecules are in the shape of a double helix, which resembles a twisted ladder. The double helix structure consists of two strands that are connected by complementary base pairs.
Without given a specific molecule there is not any way to determine the shape. Beryllium chloride consists of beryllium in the middle and a chlorine on each side, and is in the shape of a straight line.