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Preheat the oven to 325°F. Line a baking sheet with lightly-greased parchment or with nonstick aluminum foil.
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In a small bowl, whisk together the flour, salt, and baking soda. Set the mixture aside.
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In a medium bowl, working with a whisk or an electric mixer, beat the egg whites until foamy. While whisking, gradually stream in the sugar; continue to whisk until the mixture is very shiny and falls back into the bowl in thick trails that stay suspended on the surface ("ribbon stage").
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Add the cocoa powder, espresso powder, oil, and vanilla, beating until smooth. Whisk in the flour mixture until no dry streaks remain.
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Transfer the batter to the prepared pan and spread it into a rectangle about 10" x 13". Sprinkle the chocolate chips evenly atop the batter.
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Bake the brownie brittle for 20 minutes. Remove it from the oven, and cut it into squares using a knife, bench knife, or rolling pizza wheel; don't separate the pieces.
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Return the pan to the oven, and bake the brownie brittle for an additional 5 minutes. Remove it from the oven and let cool completely on the pan. Break the cooled brownie brittle into pieces; serve at room temperature for maximum crispness.
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Store leftover brownie brittle airtight at room temperature for up to 5 days.