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Preheat the oven to 325 F.
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Grease and flour a 12 cup bundt pan (or use a 10 cup bundt pan and be prepared to also make some mini bundts or loaves).
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Melt the unsweetened chocolate and set aside.*
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Mix the semisweet and bittersweet chocolates together and melt them. Then set aside to cool.*
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Whisk together the flour, sifted cocoa powder, baking powder, baking soda and salt. Set aside.
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Beat the butter and espresso powder until creamy. Add the brown sugar and granulated sugar gradually, continuing to beat until fluffy.
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Add the eggs, one at a time, beating to incorporate after each addition. Scrape the sides and bottom of the bowl several times throughout. Beat in the vanilla.
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Beat in the melted unsweetened chocolate until incorporated.
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Add the flour mixture and the sour cream, alternating, in 4 and 3 additions respectively, beginning and ending with the flour mixture.
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Finish mixing the batter by hand, being careful to not overmix. Scrape the batter into the prepared pan.
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Pour the mixed melted semisweet and bittersweet chocolate in a thick stream in the center of the cake (making a complete circle with it). Then take a butter knife and use large looping motions to swirl it gently through the batter.
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Bake for 70-75 minutes (check earlier for smaller cakes). The cake is done when the sides have begun to pull away from the pan and a cake tester inserted into the center of the cake comes out clean or only with melted chocolate on it.
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Let the cake cool in the pan for 30 minutes. Then invert it onto a cooling rack and let cool completely.
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Sprinkle with powdered sugar before serving.
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*For melting chocolate, either use a gently simmering water bath, or melt in the microwave at 50% power in 30 seconds increments.