01 - Preheat oven to 350°F. Line an 8-inch springform pan with parchment paper, lightly greasing the bottom to hold it in place.
02 - In a medium bowl, sift together the flour, cocoa powder, baking powder, and salt. Whisk in the sugar until evenly distributed.
03 - In a separate bowl, whisk the eggs, melted butter, and vanilla extract until smooth and well blended.
04 - Pour the wet mixture into the dry ingredients and fold together gently just until combined. Do not overmix. Spread the batter evenly in the prepared springform pan and bake for 20 to 25 minutes, or until a toothpick inserted in the center comes out clean. Let the cake cool completely in the pan.
05 - Soften the gelatin sheets in a bowl of cold water for about 5 minutes. Meanwhile, combine the raspberries, sugar, and water in a saucepan over medium heat. Cook until the berries break down and release their juices, about 5 minutes. Blend the mixture and press through a fine sieve to remove seeds. Gently warm the strained puree and dissolve the softened gelatin into it. Let cool to room temperature, then pour evenly over the cooled cake base. Refrigerate until set, approximately 1 hour.
06 - Melt the chopped dark chocolate using a double boiler or in 30-second intervals in the microwave, stirring between intervals. Let cool slightly until just warm to the touch.
07 - Beat the egg yolks with half of the sugar (about 2 tablespoons) and the vanilla extract until pale, thick, and creamy, approximately 2 to 3 minutes. Fold in the melted chocolate until fully incorporated.
08 - In a spotlessly clean bowl, whip the egg whites with a pinch of salt until soft peaks form. Gradually add the remaining sugar while beating continuously until stiff, glossy peaks hold their shape.
09 - In a separate chilled bowl, whip the cold heavy cream to soft peaks, being careful not to overwhip.
10 - Gently fold the whipped cream into the chocolate-yolk mixture in two additions. Then delicately fold in the whipped egg whites in two additions, using long sweeping motions to preserve the airiness. The mousse should be smooth, light, and homogenous.
11 - Pour the chocolate mousse over the set raspberry layer, smoothing the top with an offset spatula. Cover with plastic wrap and refrigerate for at least 4 hours, or until the mousse is completely firm.
12 - Release the springform pan ring and transfer the cake to a serving plate. Arrange fresh raspberries on top, scatter chocolate curls, and dust lightly with powdered sugar if desired. Slice with a warm, clean knife for neat portions.