Preheat the oven to 325°F then grease and line a 9x5-inch loaf pan with parchment paper.
In a large bowl pour the melted butter and espresso powder and mix until dissolved. Add in the granulated sugar and mix again to combine.
1 cup unsalted butter, 1 tablespoon espresso powder, 1 cup granulated sugar
Add in the eggs one at a time then the vanilla extract and whisk to combine.
4 large eggs, 1 teaspoon vanilla extract
In another bowl, sift together the flour, cocoa powder, baking powder, and salt.
1 cups all-purpose flour, ¾ cup unsweetened cocoa powder, ¾ teaspoon baking powder, ½ teaspoon salt
Add the dry ingredients to the butter mixture alternately with the sour cream mixture, beginning and ending with the dry ingredients. Mix just until combined.
⅓ cup sour cream
Pour the batter into the prepared pan and smooth the top. Bake for 55-60 minutes, or until a toothpick inserted into the center comes out clean.
Cool the cake in the pan for 15 minutes, then remove from the pan and cool completely on a wire rack.