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Preheat the oven to 350. Line 14 to 15 muffin cups with cupcake liners and set pan aside.
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Combine the flour, cocoa powder, espresso powder, baking powder, baking soda, and salt in a medium mixing bowl and stir together. (These are your dry ingredients.) Set aside.
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Combine the sugar, melted butter, and oil in a large mixing bowl and stir well to combine. Add the eggs and vanilla and mix vigorously.
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Stir half of the dry ingredients into the sugar-butter mixture until just incorporated. Mix in half of the coffee.
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Scrape down the sides and bottom of the bowl, then mix in the remaining dry ingredients and the remaining coffee. Stir until smooth. (The batter will be very thin.)
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Divide batter evenly between the prepared muffin cups, filling each cup about 3/4 full. Bake 18 to 22 minutes, until a cake tester inserted into the center of the cupcakes comes out clean.
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Let cupcakes cool in pans for 15 minutes, then carefully remove from the pans to cool completely on a wire rack before frosting them.