A (Ga1-x Alx)1-y Iny N crystal (0???x???1, 0???y???1, excluding the case of x=1 and y=0) is a direct transient semiconductor with a light wavelength of 200 to 700 nm to the energy band gap at the room temperature, and is expected as a material particularly for a device which emits and receives light having a wavelength of a visible short wavelength range or an ultraviolet range.