In the context of nano materials, grain size distribution refers to how the individual grain sizes are distributed across the material. This distribution plays a crucial role in determining the material's properties. For many nano materials, the grain size distribution tends to follow a log-normal distribution.
A log-normal distribution occurs when the logarithm of the grain size follows a normal (Gaussian) distribution. This distribution is commonly observed in nano materials because processes like grain growth and sintering typically result in such a distribution. The log-normal distribution has a bell-shaped curve on a logarithmic scale and is characterized by a peak at the median grain size.
On the other hand, bimodal distributions (two peaks) and exponential distributions are not typical for nano materials. Bimodal distributions might arise in certain composites, and exponential distributions are often associated with specific types of growth, but neither typically describes the grain size distribution of nano materials.
Hence, the correct answer is: Log normal.