Preheat the oven to 350°F.
In a large bowl, cream together 1 cup of granulated sugar and 6 tablespoons of softened butter.
Add 1 egg, 1 egg yolk, and ½ teaspoon of vanilla extract, mixing until combined.
Mix in ½ cup of buttermilk.
In a separate bowl, sift together ¾ cup + 2 tablespoons of all-purpose flour, ¼ cup + 2 tablespoons of Dutch-process cocoa powder, ¾ teaspoon of baking powder, ⅛ teaspoon of baking soda, and ¼ teaspoon of salt.
Gradually add the dry ingredients to the wet ingredients, mixing until well combined.
Stir in ¼ cup of hot coffee.
Line a cupcake pan with cupcake liners and fill each cup ¾ full. Bake for 18-21 minutes, or until a toothpick inserted into the center comes out clean.
Let the cupcakes cool in the pan for 5 minutes, then transfer them to a cooling rack to cool completely.