Physical chemistry of nanostructured systems

Содержание

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LECTURE No. 4 PROPERTIES OF NANOSTRUCTURED MATERIALS

LECTURE No. 4
PROPERTIES OF NANOSTRUCTURED MATERIALS

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INTRODUCTION Physical-chemistry of solid-state nanostructures is a bridge between: Atomic Physics

INTRODUCTION

Physical-chemistry of solid-state nanostructures is a bridge between:
Atomic Physics
Physical chemistry

of the concentrated state

Наноструктура - очень маленький фрагмент твердого тела. Что при таких малых размерах свойства наноструктур сильно отличаются от свойств сыпучих материалов.

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INTRODUCTION What is Nonotechnology? What is Nonoscience? Stability: Kinetic Thermodynamic factors

INTRODUCTION

What is Nonotechnology?

What is Nonoscience?

Stability:
Kinetic
Thermodynamic factors

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OBJECTIVES To analyse physico-chemical properties of nanostructured materials. To explain size

OBJECTIVES

To analyse physico-chemical properties of nanostructured materials.
To explain size effect of

nanoparticles on the chemical and thermodynamic properties.
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OUTLINE Physico-chemical properties of nanostructured materials. Size effect of nanoparticles on the chemical and thermodynamic properties.

OUTLINE

Physico-chemical properties of nanostructured materials.
Size effect of nanoparticles on the chemical

and thermodynamic properties.
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Factors, influencing the properties of nanostructured materials (with decreasing of size

Factors, influencing the properties of nanostructured materials (with decreasing of size

of nanoparticles):
A change in the thermodynamic state of nanosystems
The appearance of quantum-size effects
excess energy and
high physico-chemical activity
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The formation of nanoparticles from atoms is accompanied by two processes:

The formation of nanoparticles from atoms is accompanied by two processes:
Formation

of metallic nuclei of different sizes
Interaction between the particles, which facilitates the creation of ensembles representing nanostructures from them.
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Change in the free Gibbs energy (G) Physico-chemical properties

Change in the free Gibbs energy (G)

Physico-chemical properties

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Electrical resistivity Physico-chemical properties Where: - ρ∞ is the electrical resistivity

Electrical resistivity

Physico-chemical properties

Where:
- ρ∞ is the electrical resistivity of a coarse

grain substance,
- l∞ is the mean free path of electrons in a single crystal,
- q is the coefficient of electron scattering during the transition of grain boundaries (межзеренных границ)

0 < q < 1

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Physico-chemical properties Mechanical properties Tensile strength and hardness: Where: - is

Physico-chemical properties

Mechanical properties

Tensile strength and hardness:

Where:
- is strength of

a single crystal,
- k is a coefficient of strength (specific for each material),
- d is an average grain size.

(Hall-Petch equation)

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Physico-chemical properties Effect of grain size (d) on the micro hardness of metals

Physico-chemical properties

Effect of grain size (d) on the micro hardness of

metals
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Physico-chemical properties Effect of grain size (d) on the micro hardness

Physico-chemical properties

Effect of grain size (d) on the micro hardness of

metals (a) and ceramics (b)
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Physico-chemical properties Two-dimensional model of nanocrystalline material. Nanocrystallites with different orientations

Physico-chemical properties

Two-dimensional model of nanocrystalline material.

Nanocrystallites with different orientations
Interphase

boundaries (межзеренных границ)

Internal stresses (grain boundaries as determining role)

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Physico-chemical properties The study of experimental data and reactions of atoms,

Physico-chemical properties

The study of experimental data and reactions of atoms, clusters

and nanoparticles of various elements of the periodic system allows us to formulate the following definition:

Pазмерные эффекты в химии – это явление, выражающееся в качественном изменении физико-химических свойств и реакционной способности в зависимости от количества атомов или молекул в частице вещества, происходящее в интервале менее 100 атомно-молекулярных диаметров.

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Types of size effects Internal: associated with specific changes in the

Types of size effects

Internal: associated with specific changes in the

volume and surface properties of both individual particles and the ensembles obtained because of their self-organization.

External: dimensionally dependent response to an external field or the action of forces independent of the internal effect.

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Types of size effects The study of internal dimensional effects is

Types of size effects

The study of internal dimensional effects

is aimed on the studying of:
The electronic and structural properties of clusters,
The effect on chemical activity, the ionization potential, the binding energy between atoms in a particle and between particles, and
The crystallographic structure.
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The melting point as a function of the particle size and

The melting point as a function of the particle size and

its geometry.

Thermodynamic representations

Where:
- rs is the radius of the particle,
- ∆H is the molar latent heat of fusion,
- Υ is the surface energy,
- ρ is the density.

System dimensions are infinite.
Equilibrium and perfect crystals.

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The melting point as a function of the particle size and

The melting point as a function of the particle size and

its geometry.

Vibrations of atoms: Lindemann criteria.

 

 

 

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The melting point as a function of the particle size and

The melting point as a function of the particle size and

its geometry.

Vibrations of atoms: Lindemann criteria.

Where: - Tm (r) and Tm (∞) are the melting points of a nanocrystal and a compact metal,
- h the height of the monolayer of atoms in the crystal structure,
- r is the size of the nanoparticle.

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The melting point as a function of the particle size and

The melting point as a function of the particle size and

its geometry.

Vibrations of atoms: Lindemann criteria.

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Control questions 1. What are the main factors that influence in

Control questions

1. What are the main factors that influence in the properties

of nanomaterials?.
2. Mention the steps of nanostructures formation.
3. Why is important the particle size.
4. Explain the behavior of the mechanical properties with decreasing of size in nanostructured materials.
5. Describe the size effect on the melting point of nanostructured materials.
6. Analyze the models that explain the dependence of melting point on the size of metallic nanoparticles.