coefficient of linear expansion Solution The change in length per unit length resulting from a one degree rise in temperature, expressed in degrees is defined as coefficient of linear expansion. Most materials expand somewhat when heated through a temperature range that does not produce a change in phase (that is changing from a solid to a liquid or from a liquid to a gas). The added heat increases the average amplitude of vibration of the atoms in the material which increases the average separation between the atoms. Suppose an object of length L undergoes a temperature change of magnitude T. If T is reasonably small, the change in length, L, is generally proportional to L and DT. Stated mathematically L =LT, where is the coefficient of linear expansion.. Higher the value, higher will be expansion with temperature.