The Difference Between Brand and Brand Identity

Your Brand is the perception that people have of your company.
Your Brand Identity is what you use to shape people's perception.
What we see (e.g.: logo).
What we touch (e.g.: brochure).
What we smell (e.g.: retail store).
What we taste (e.g.: your food).
What we hear (e.g.: like radio advertisements to the way you phrase your mission statement.)