01 - Preheat oven to 350°F. Line an 8-inch springform pan with parchment paper and set aside.
02 - In a medium bowl, whisk together the flour, cocoa powder, baking powder, sugar, and salt. In a separate bowl, whisk the eggs, melted butter, and vanilla extract until smooth. Pour the wet ingredients into the dry mixture and stir just until combined. Spread the batter evenly into the prepared springform pan.
03 - Bake for 20 to 25 minutes, or until a toothpick inserted in the center comes out clean. Allow the cake to cool completely in the pan.
04 - Soften the gelatin sheets in cold water. In a small saucepan, combine the raspberries, sugar, and water. Heat over medium until the berries break down completely. Puree with a blender, then strain through a sieve to remove the seeds. Gently warm the strained puree and dissolve the softened gelatin into it. Let cool to room temperature, then pour over the cooled cake base. Refrigerate until set, about 1 hour.
05 - Melt the chopped dark chocolate over a double boiler or in the microwave in 20-second intervals, stirring between each. Let cool slightly.
06 - In a bowl, beat the egg yolks with half of the sugar (about 2 tablespoons) and the vanilla extract until pale and creamy. Stir in the melted chocolate until fully incorporated.
07 - In a clean, grease-free bowl, whip the egg whites with a pinch of salt until soft peaks form. Gradually add the remaining sugar and continue beating until stiff, glossy peaks hold.
08 - In a separate chilled bowl, whip the cold heavy cream to soft peaks.
09 - Gently fold the whipped cream into the chocolate yolk mixture. Then delicately fold in the whipped egg whites in two additions, maintaining as much air as possible until the mousse is smooth and light.
10 - Pour the chocolate mousse over the set raspberry layer and smooth the top with a spatula. Cover with plastic wrap and refrigerate for at least 4 hours, or until fully set.
11 - Release the cake from the springform pan. Arrange fresh raspberries, chocolate curls, and a light dusting of powdered sugar over the top. Slice and serve chilled.