Bonding Electronics and Energetics (BEE) – Progress summary If one bond breaks, the neighboring ones become shorter and stronger, leading to strain and trapping that causes localization and densification of charge, energy, and mass in the relaxed surface skin whereas atoms in the core interior remain as they are in the bulk. Therefore, the broken bond matters the performance of nanostructures by modulating the atomic cohesive energy, Hamiltonian, and elastic modulus, giving rise to the bond-order-length-strength (BOLS) correlation mechanism [1], which has enabled unification of the size dependency of nanostructures with derived information such as the energy levels of an isolated atom (see table) and the vibration frequency of an isolated dimer. ___________________________________ 2. Tab. BOLS derived energy levels of isolated atoms. Energy Au-4f Cu-2p Cu-3d Pd-3d Si-2p -Ec(∞) 84.37 932.70 7.23 334.35 99.20 -Ec(1) 81.50 931.00 5.51 330.34 96.74 140 MC Maximal Strain (%) Broken bond matters nanosolid devices Ir - MC 80 60 40 20 0.05 0.10 0.15 0.20 0.25 T/Tm,bulk Fig. 1 BOLS correlation and the enabled reproduction of the measured T-dependent strain limit of atomic chains. ----------------------------------------- C2H2Cu3 Fig. 2 Cu3O2 and C2H2Cu3 bonding to the Cu(001) surface. Fig. 3 BBB-derived media for blue light emission and diamond-metal adhesion. --------------------------------------------------(a) Local bond average approach (b) CdSe -20 Pc (GPa) 4.0 3.5 3.0 -40 Data-1 Data-2 Data-3 Data-4 Data-5 Data-6 m=4.88,dot m=4.88,rod -60 -80 9 12 15 18 21 24 R (nm/10) 2 4 6 8 K (=D/2d) Fig. 4 Pressure dependence of critical size for solid phase transition at the ambient temperature, (b) size dependence of Si dielectrics, and T-dependence of (c) Raman shift and (d) elastic modulus of Si. ---------------------------------- Edge and interface quantum trapping The combination of (1) and (2) leads to the intriguing states in the edges, surfaces and interfaces. The trapped and densified bonding states polarize the nonbonding and antibonding states, giving rise to the edge states as observed from the edge of graphene ribbon and the end of atomic chains; Charge and energy density gain in the junction interface provide a novel mechanism of trapping in the quantum transport dynamics of phonons, electrons, and photons in nanosolid devices and mechanism for the interface dielectric ferroelectric breaking, and mechanical strengthening [5] . A/Prof Chang Q Sun, FRSC, FInstP, FSNN 5.0 4.5 For a given specimen, the nature and the total number of bonds remain unchanged before phase transition yet the length and strength of the bonds response to the external stimulus such as coordination environment, temperature, pressure, electric and magnetic field, etc. One can thus focus on the representative bonds or their average to approach the performance of a solid in particular with the anisotropic, kinetic, and localized nature. Reproduction of experimental observations has led to knowledge of single bond energy and rule for the joint effect of pressure and size on solid phase transition [4]. _______________________________________ 4. Au - MC Pt - MC 100 O, N, and C tetra-bonding kinetics O, N, and C atom forms tetrahedron with atoms in solid phase, generating the bonding, nonbonding (lone pair or unpair), antibonding (dipole), and H-bond like states adding to the valence band of the host specimen, which leads to the bond-band-barrier (BBB) correlation mechanism [2] and enabled STM/LEED quantification of four-stage Cu3O2 and C2H2Cu3 bonding kinetics and derivatives of new materials for blue light emission, electron emission, and diamond-metal adhesion [3]. _____________________________________ 3. 120 0 0.00 r suppression (%) 1. 1. Size dependence of nanostructures: Impact of bond order deficiency. Prog Solid State Chem, 2007;35:1-159. 2. Oxidation electronics: bond-band-barrier correlation and its applications. Prog Mater Sci, 2003;48:521-685. 3. Charge polarization and repopulation in tetrahedron chemistry, in Chemical reaction on solid surfaces, F. Columbus, 2007, ASP: New York. 4. Mesoscopic thermo-mechanics: Local bond average. In press. 5. Atomistic origin, temperature dependence, and responsibilities of surface energetics: An extended brokenbond rule. Phys Rev B, 2007. 75(8): 085427. www.ntu.edu.sg/home/ecqsun ecqsun@ntu.edu.sg