We compute the massless five-point amplitude of open superstrings using the non-minimal pure spinor formalism and obtain a simple kinematic factor in pure spinor superspace, which can be viewed as the natural extension of the kinematic factor of the massless four-point amplitude. It encodes bosonic and fermionic external states in supersymmetric form and reduces to existing bosonic amplitudes when expanded in components, therefore proving their equivalence. We also show how to compute the kinematic structures involving fermionic states.

We studied the following to clarify the design rule of the miniature cantilever-type ultrasonic motor using lead-free array-type multilayer piezoelectric ceramics, which is (Sr,Ca)2NaNb5O15. The relationship between the motor properties and stator vibrator dimensions was investigated by the finite element method and vibration analysis. The motor properties mainly depended on the cantilever sizes. The motor properties can be especially controlled from the revolution-speed-oriented type to the torque-oriented type by adjusting the vamplate radius of the cantilever. As a result, the design rule was clarified. In accordance with the design rule, the lead-free torque-oriented motor was fabricated and its properties were evaluated. The driving properties of this motor changed to the torque-oriented characteristics, such as the ratio of the maximum torque to the maximum speed was over 1200-fold of that of the motor fabricated in a previous study. It appeared that the driving properties of the lead-free cantilever-type motor can be controlled by using the design rule.

The temperature dependences of the real and imaginary parts of the complex dielectric constant of (CH3)2NHZH2P04 and its partially deuterated crystal, (CH3)2N(HI -,Dx)2(H~-,D,)2P04, were measured in a frequency range between I MHz and 1 GHz. The results obtained in the present study indicate that the crystal of (CH3)2N(H1-,DX)2(H1 _xD,)zP04 exhibits remarkable dielectric relaxation in the microwave frequency range, and exhibits critical slowing-down near T,. It is therefore concluded that the ferroelectric phase transition is of order-disorder type, and the transition temperature and the relaxation time are enhanced by the increase of the deuterium concentration.

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Monolithically integrated, wide tuning range low pass filters have been demonstrated based on electrothermally driven MEMS switches. The integrated system is comprised of copper spiral inductors, polysilicon capacitors and electrothermal MEMS actuators on a single 4.3 x 2.4 mm2 chip; the design is optimized for the selection of three commonly used commercial cut-off frequencies: (f,) at 0.9GHz, 1.9GHz and 2.5GHz. The driving voltage is only 3.7V and out-of-band attenuation is -39dB at 3.5GHz, which is comparable to the state-of-art commercial ceramic filters. As such, this tunable filter and related fabrication technologies are applicable for various RF front end applications.